diff --git a/Project.toml b/Project.toml
index d4bd8f3..3bcc69b 100644
--- a/Project.toml
+++ b/Project.toml
@@ -28,8 +28,9 @@ DDEProblemLibrary = "0.1"
 JumpProblemLibrary = "1, 2.0"
 NonlinearProblemLibrary = "0.1"
 ODEProblemLibrary = "1"
+Pkg = "1.10"
 SafeTestsets = "0.1"
-SciMLTesting = "1"
+SciMLTesting = "1.6"
 SDEProblemLibrary = "1"
 Test = "1.10"
 julia = "1.10"
diff --git a/lib/BVProblemLibrary/src/BVProblemLibrary.jl b/lib/BVProblemLibrary/src/BVProblemLibrary.jl
index 09067f5..2070818 100644
--- a/lib/BVProblemLibrary/src/BVProblemLibrary.jl
+++ b/lib/BVProblemLibrary/src/BVProblemLibrary.jl
@@ -1,6 +1,8 @@
 module BVProblemLibrary
 
-using DiffEqBase, Markdown, SpecialFunctions
+using DiffEqBase: DiffEqBase, BVPFunction, BVProblem
+using Markdown: Markdown
+using SpecialFunctions: SpecialFunctions, erf
 
 include("linear.jl")
 include("nonlinear.jl")
diff --git a/lib/BVProblemLibrary/test/qa/Project.toml b/lib/BVProblemLibrary/test/qa/Project.toml
index 3b6a6c9..0303815 100644
--- a/lib/BVProblemLibrary/test/qa/Project.toml
+++ b/lib/BVProblemLibrary/test/qa/Project.toml
@@ -1,6 +1,7 @@
 [deps]
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
 BVProblemLibrary = "ded0fc24-dfea-4565-b1d9-79c027d14d84"
+SciMLTesting = "09d9d899-5365-40a9-917a-5f67fddea283"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [sources]
@@ -9,5 +10,6 @@ BVProblemLibrary = {path = "../.."}
 [compat]
 Aqua = "0.8"
 BVProblemLibrary = "0.1"
+SciMLTesting = "1.6"
 Test = "1.10"
 julia = "1.10"
diff --git a/lib/BVProblemLibrary/test/qa/qa.jl b/lib/BVProblemLibrary/test/qa/qa.jl
index 36a36a3..d0cdafb 100644
--- a/lib/BVProblemLibrary/test/qa/qa.jl
+++ b/lib/BVProblemLibrary/test/qa/qa.jl
@@ -1,6 +1,3 @@
-using BVProblemLibrary
-using Aqua
+using SciMLTesting, BVProblemLibrary, Test
 
-@testset "Aqua" begin
-    Aqua.test_all(BVProblemLibrary; ambiguities = false)
-end
+run_qa(BVProblemLibrary; explicit_imports = true, aqua_kwargs = (; ambiguities = false))
diff --git a/lib/DAEProblemLibrary/src/DAEProblemLibrary.jl b/lib/DAEProblemLibrary/src/DAEProblemLibrary.jl
index 383121f..5d6644b 100644
--- a/lib/DAEProblemLibrary/src/DAEProblemLibrary.jl
+++ b/lib/DAEProblemLibrary/src/DAEProblemLibrary.jl
@@ -1,6 +1,7 @@
 module DAEProblemLibrary
 
-using DiffEqBase, Markdown
+using DiffEqBase: DiffEqBase, DAEProblem
+using Markdown: Markdown, @doc_str
 
 #DAE Example Problems
 export prob_dae_resrob, prob_dae_transamp
diff --git a/lib/DAEProblemLibrary/test/qa/Project.toml b/lib/DAEProblemLibrary/test/qa/Project.toml
index 5883ba1..47f8873 100644
--- a/lib/DAEProblemLibrary/test/qa/Project.toml
+++ b/lib/DAEProblemLibrary/test/qa/Project.toml
@@ -1,6 +1,7 @@
 [deps]
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
 DAEProblemLibrary = "dfb8ca35-80a1-48ba-a605-84916a45b4f8"
+SciMLTesting = "09d9d899-5365-40a9-917a-5f67fddea283"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [sources]
@@ -9,5 +10,6 @@ DAEProblemLibrary = {path = "../.."}
 [compat]
 Aqua = "0.8"
 DAEProblemLibrary = "0.1"
+SciMLTesting = "1.6"
 Test = "1.10"
 julia = "1.10"
diff --git a/lib/DAEProblemLibrary/test/qa/qa.jl b/lib/DAEProblemLibrary/test/qa/qa.jl
index 0bb41bc..19f7b6c 100644
--- a/lib/DAEProblemLibrary/test/qa/qa.jl
+++ b/lib/DAEProblemLibrary/test/qa/qa.jl
@@ -1,6 +1,3 @@
-using DAEProblemLibrary
-using Aqua
+using SciMLTesting, DAEProblemLibrary, Test
 
-@testset "Aqua" begin
-    Aqua.test_all(DAEProblemLibrary; ambiguities = false)
-end
+run_qa(DAEProblemLibrary; explicit_imports = true, aqua_kwargs = (; ambiguities = false))
diff --git a/lib/DDEProblemLibrary/src/DDEProblemLibrary.jl b/lib/DDEProblemLibrary/src/DDEProblemLibrary.jl
index 3284271..efc1a67 100644
--- a/lib/DDEProblemLibrary/src/DDEProblemLibrary.jl
+++ b/lib/DDEProblemLibrary/src/DDEProblemLibrary.jl
@@ -1,6 +1,6 @@
 module DDEProblemLibrary
 
-using DiffEqBase
+using DiffEqBase: DiffEqBase, DDEFunction, DDEProblem, remake
 # DDE Example Problems
 
 # examples with constant delays
diff --git a/lib/DDEProblemLibrary/test/qa/Project.toml b/lib/DDEProblemLibrary/test/qa/Project.toml
index 233d74a..2806b3c 100644
--- a/lib/DDEProblemLibrary/test/qa/Project.toml
+++ b/lib/DDEProblemLibrary/test/qa/Project.toml
@@ -1,6 +1,7 @@
 [deps]
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
 DDEProblemLibrary = "f42792ee-6ffc-4e2a-ae83-8ee2f22de800"
+SciMLTesting = "09d9d899-5365-40a9-917a-5f67fddea283"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [sources]
@@ -9,5 +10,6 @@ DDEProblemLibrary = {path = "../.."}
 [compat]
 Aqua = "0.8"
 DDEProblemLibrary = "0.1"
+SciMLTesting = "1.6"
 Test = "1.10"
 julia = "1.10"
diff --git a/lib/DDEProblemLibrary/test/qa/qa.jl b/lib/DDEProblemLibrary/test/qa/qa.jl
index ce167c0..10c3fbb 100644
--- a/lib/DDEProblemLibrary/test/qa/qa.jl
+++ b/lib/DDEProblemLibrary/test/qa/qa.jl
@@ -1,6 +1,3 @@
-using DDEProblemLibrary
-using Aqua
+using SciMLTesting, DDEProblemLibrary, Test
 
-@testset "Aqua" begin
-    Aqua.test_all(DDEProblemLibrary; ambiguities = false)
-end
+run_qa(DDEProblemLibrary; explicit_imports = true, aqua_kwargs = (; ambiguities = false))
diff --git a/lib/JumpProblemLibrary/src/JumpProblemLibrary.jl b/lib/JumpProblemLibrary/src/JumpProblemLibrary.jl
index f5700b5..9263e67 100644
--- a/lib/JumpProblemLibrary/src/JumpProblemLibrary.jl
+++ b/lib/JumpProblemLibrary/src/JumpProblemLibrary.jl
@@ -1,6 +1,8 @@
 module JumpProblemLibrary
 
-using Catalyst
+using Catalyst: Catalyst, @named, @parameters, @reaction_network, @species, Num,
+    Reaction, ReactionSystem, complete, default_t, hill, make_empty_network,
+    species, unknowns
 
 import RuntimeGeneratedFunctions
 RuntimeGeneratedFunctions.init(@__MODULE__)
diff --git a/lib/JumpProblemLibrary/test/qa/Project.toml b/lib/JumpProblemLibrary/test/qa/Project.toml
index 4d15c00..84983a9 100644
--- a/lib/JumpProblemLibrary/test/qa/Project.toml
+++ b/lib/JumpProblemLibrary/test/qa/Project.toml
@@ -1,6 +1,7 @@
 [deps]
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
 JumpProblemLibrary = "faf0f6d7-8cee-47cb-b27c-1eb80cef534e"
+SciMLTesting = "09d9d899-5365-40a9-917a-5f67fddea283"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [sources]
@@ -9,5 +10,6 @@ JumpProblemLibrary = {path = "../.."}
 [compat]
 Aqua = "0.8"
 JumpProblemLibrary = "2"
+SciMLTesting = "1.6"
 Test = "1.10"
 julia = "1.10"
diff --git a/lib/JumpProblemLibrary/test/qa/qa.jl b/lib/JumpProblemLibrary/test/qa/qa.jl
index 3d703ee..377d194 100644
--- a/lib/JumpProblemLibrary/test/qa/qa.jl
+++ b/lib/JumpProblemLibrary/test/qa/qa.jl
@@ -1,6 +1,10 @@
-using JumpProblemLibrary
-using Aqua
+using SciMLTesting, JumpProblemLibrary, Test
 
-@testset "Aqua" begin
-    Aqua.test_all(JumpProblemLibrary; ambiguities = false, persistent_tasks = false)
-end
+# `RuntimeGeneratedFunctions.init(@__MODULE__)` qualified-accesses the non-public
+# `RuntimeGeneratedFunctions.init` (the package's documented init boilerplate), so it
+# is ignored for the public-API qualified-access check.
+run_qa(
+    JumpProblemLibrary; explicit_imports = true,
+    aqua_kwargs = (; ambiguities = false, persistent_tasks = false),
+    ei_kwargs = (; all_qualified_accesses_are_public = (; ignore = (:init,)))
+)
diff --git a/lib/NonlinearProblemLibrary/src/NonlinearProblemLibrary.jl b/lib/NonlinearProblemLibrary/src/NonlinearProblemLibrary.jl
index ae5c52f..397aa7d 100644
--- a/lib/NonlinearProblemLibrary/src/NonlinearProblemLibrary.jl
+++ b/lib/NonlinearProblemLibrary/src/NonlinearProblemLibrary.jl
@@ -1,6 +1,7 @@
 module NonlinearProblemLibrary
 
-using SciMLBase, LinearAlgebra
+using SciMLBase: SciMLBase, NonlinearProblem
+using LinearAlgebra: LinearAlgebra
 
 # Implementation of the 23 test problems in
 # [test_nonlin](https://people.sc.fsu.edu/~jburkardt/m_src/test_nonlin/test_nonlin.html)
diff --git a/lib/NonlinearProblemLibrary/test/qa/Project.toml b/lib/NonlinearProblemLibrary/test/qa/Project.toml
index 5ee5061..8b49b35 100644
--- a/lib/NonlinearProblemLibrary/test/qa/Project.toml
+++ b/lib/NonlinearProblemLibrary/test/qa/Project.toml
@@ -2,6 +2,7 @@
 AllocCheck = "9b6a8646-10ed-4001-bbdc-1d2f46dfbb1a"
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
 NonlinearProblemLibrary = "b7050fa9-e91f-4b37-bcee-a89a063da141"
+SciMLTesting = "09d9d899-5365-40a9-917a-5f67fddea283"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [sources]
@@ -11,5 +12,6 @@ NonlinearProblemLibrary = {path = "../.."}
 AllocCheck = "0.2"
 Aqua = "0.8"
 NonlinearProblemLibrary = "0.1"
+SciMLTesting = "1.6"
 Test = "1"
 julia = "1.10"
diff --git a/lib/NonlinearProblemLibrary/test/qa/qa.jl b/lib/NonlinearProblemLibrary/test/qa/qa.jl
index 5274826..5c4dc61 100644
--- a/lib/NonlinearProblemLibrary/test/qa/qa.jl
+++ b/lib/NonlinearProblemLibrary/test/qa/qa.jl
@@ -1,6 +1,3 @@
-using NonlinearProblemLibrary
-using Aqua
+using SciMLTesting, NonlinearProblemLibrary, Test
 
-@testset "Aqua" begin
-    Aqua.test_all(NonlinearProblemLibrary; ambiguities = false)
-end
+run_qa(NonlinearProblemLibrary; explicit_imports = true, aqua_kwargs = (; ambiguities = false))
diff --git a/lib/ODEProblemLibrary/src/ODEProblemLibrary.jl b/lib/ODEProblemLibrary/src/ODEProblemLibrary.jl
index 243c4d0..bf022ee 100644
--- a/lib/ODEProblemLibrary/src/ODEProblemLibrary.jl
+++ b/lib/ODEProblemLibrary/src/ODEProblemLibrary.jl
@@ -1,9 +1,9 @@
 module ODEProblemLibrary
 
-using DiffEqBase
-using LinearAlgebra
-using Markdown
-using Random
+using DiffEqBase: DiffEqBase, ODEFunction, ODEProblem
+using LinearAlgebra: LinearAlgebra, Diagonal, I, SymTridiagonal, diagind, ldiv!, mul!, rmul!
+using Markdown: Markdown, @doc_str
+using Random: Random
 
 Random.seed!(100)
 
diff --git a/lib/ODEProblemLibrary/test/qa/Project.toml b/lib/ODEProblemLibrary/test/qa/Project.toml
index d52ff29..ff7b19a 100644
--- a/lib/ODEProblemLibrary/test/qa/Project.toml
+++ b/lib/ODEProblemLibrary/test/qa/Project.toml
@@ -1,6 +1,7 @@
 [deps]
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
 ODEProblemLibrary = "fdc4e326-1af4-4b90-96e7-779fcce2daa5"
+SciMLTesting = "09d9d899-5365-40a9-917a-5f67fddea283"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [sources]
@@ -9,5 +10,6 @@ ODEProblemLibrary = {path = "../.."}
 [compat]
 Aqua = "0.8"
 ODEProblemLibrary = "1"
+SciMLTesting = "1.6"
 Test = "1.10"
 julia = "1.10"
diff --git a/lib/ODEProblemLibrary/test/qa/qa.jl b/lib/ODEProblemLibrary/test/qa/qa.jl
index cdfb145..f5b5bb5 100644
--- a/lib/ODEProblemLibrary/test/qa/qa.jl
+++ b/lib/ODEProblemLibrary/test/qa/qa.jl
@@ -1,6 +1,3 @@
-using ODEProblemLibrary
-using Aqua
+using SciMLTesting, ODEProblemLibrary, Test
 
-@testset "Aqua" begin
-    Aqua.test_all(ODEProblemLibrary; ambiguities = false)
-end
+run_qa(ODEProblemLibrary; explicit_imports = true, aqua_kwargs = (; ambiguities = false))
diff --git a/lib/SDEProblemLibrary/src/SDEProblemLibrary.jl b/lib/SDEProblemLibrary/src/SDEProblemLibrary.jl
index 4b577d5..b463129 100644
--- a/lib/SDEProblemLibrary/src/SDEProblemLibrary.jl
+++ b/lib/SDEProblemLibrary/src/SDEProblemLibrary.jl
@@ -1,6 +1,7 @@
 module SDEProblemLibrary
 
-using DiffEqBase, Markdown
+using DiffEqBase: DiffEqBase, SDEFunction, SDEProblem
+using Markdown: Markdown, @doc_str
 
 import RuntimeGeneratedFunctions
 RuntimeGeneratedFunctions.init(@__MODULE__)
diff --git a/lib/SDEProblemLibrary/test/qa/Project.toml b/lib/SDEProblemLibrary/test/qa/Project.toml
index 2cdb197..90732b1 100644
--- a/lib/SDEProblemLibrary/test/qa/Project.toml
+++ b/lib/SDEProblemLibrary/test/qa/Project.toml
@@ -1,6 +1,7 @@
 [deps]
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
 SDEProblemLibrary = "c72e72a9-a271-4b2b-8966-303ed956772e"
+SciMLTesting = "09d9d899-5365-40a9-917a-5f67fddea283"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [sources]
@@ -9,5 +10,6 @@ SDEProblemLibrary = {path = "../.."}
 [compat]
 Aqua = "0.8"
 SDEProblemLibrary = "1"
+SciMLTesting = "1.6"
 Test = "1.10"
 julia = "1.10"
diff --git a/lib/SDEProblemLibrary/test/qa/qa.jl b/lib/SDEProblemLibrary/test/qa/qa.jl
index faf5dfb..396ed6d 100644
--- a/lib/SDEProblemLibrary/test/qa/qa.jl
+++ b/lib/SDEProblemLibrary/test/qa/qa.jl
@@ -1,6 +1,10 @@
-using SDEProblemLibrary
-using Aqua
+using SciMLTesting, SDEProblemLibrary, Test
 
-@testset "Aqua" begin
-    Aqua.test_all(SDEProblemLibrary; ambiguities = false, persistent_tasks = false)
-end
+# `RuntimeGeneratedFunctions.init(@__MODULE__)` qualified-accesses the non-public
+# `RuntimeGeneratedFunctions.init` (the package's documented init boilerplate), so it
+# is ignored for the public-API qualified-access check.
+run_qa(
+    SDEProblemLibrary; explicit_imports = true,
+    aqua_kwargs = (; ambiguities = false, persistent_tasks = false),
+    ei_kwargs = (; all_qualified_accesses_are_public = (; ignore = (:init,)))
+)
diff --git a/test/qa/Project.toml b/test/qa/Project.toml
index 7037fbf..78e8c4e 100644
--- a/test/qa/Project.toml
+++ b/test/qa/Project.toml
@@ -1,6 +1,5 @@
 [deps]
 DiffEqProblemLibrary = "a077e3f3-b75c-5d7f-a0c6-6bc4c8ec64a9"
-ExplicitImports = "7d51a73a-1435-4ff3-83d9-f097790105c7"
 SafeTestsets = "1bc83da4-3b8d-516f-aca4-4fe02f6d838f"
 SciMLTesting = "09d9d899-5365-40a9-917a-5f67fddea283"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
@@ -10,8 +9,7 @@ DiffEqProblemLibrary = {path = "../.."}
 
 [compat]
 DiffEqProblemLibrary = "5"
-ExplicitImports = "1"
 SafeTestsets = "0.0.1, 0.1"
-SciMLTesting = "1"
+SciMLTesting = "1.6"
 Test = "1.10"
 julia = "1.10"
diff --git a/test/qa/qa.jl b/test/qa/qa.jl
index 8c77d8f..454dc48 100644
--- a/test/qa/qa.jl
+++ b/test/qa/qa.jl
@@ -1,11 +1,6 @@
-# The root umbrella package's own test: it re-exports each sublibrary,
-# so the test is that the whole thing builds with no implicit or stale
-# explicit imports.
-using DiffEqProblemLibrary
-using ExplicitImports
-using Test
+using SciMLTesting, DiffEqProblemLibrary, Test
 
-@testset "ExplicitImports" begin
-    @test check_no_implicit_imports(DiffEqProblemLibrary) === nothing
-    @test check_no_stale_explicit_imports(DiffEqProblemLibrary) === nothing
-end
+# The root umbrella package re-exports each sublibrary; it owns no methods of its own,
+# so the reported method ambiguities all come from the imported dependency tree
+# (DiffEqBase / SciMLBase / Catalyst), matching the `ambiguities = false` each sublib uses.
+run_qa(DiffEqProblemLibrary; explicit_imports = true, aqua_kwargs = (; ambiguities = false))