fix: Make context logging functions spec-compliant - Fixes #397 #1570

Job	Run time
checks / pre-commit	22s
checks / readme-snippets	11s
checks / test (3.11, lowest-direct, windows-latest)	1m 10s
checks / test (3.10, lowest-direct, windows-latest)	57s
checks / test (3.10, lowest-direct, ubuntu-latest)	32s
checks / test (3.11, lowest-direct, ubuntu-latest)	27s
checks / test (3.11, locked, ubuntu-latest)	28s
checks / test (3.12, locked, windows-latest)	1m 9s
checks / test (3.14, lowest-direct, windows-latest)	51s
checks / test (3.10, locked, ubuntu-latest)	27s
checks / test (3.10, locked, windows-latest)	1m 4s
checks / test (3.14, lowest-direct, ubuntu-latest)	22s
checks / test (3.13, lowest-direct, ubuntu-latest)	32s
checks / test (3.12, locked, ubuntu-latest)	31s
checks / test (3.13, locked, ubuntu-latest)	26s
checks / test (3.11, locked, windows-latest)	54s
checks / test (3.13, locked, windows-latest)	52s
checks / test (3.12, lowest-direct, windows-latest)	1m 2s
checks / test (3.12, lowest-direct, ubuntu-latest)	35s
checks / test (3.14, locked, windows-latest)	1m 36s
checks / test (3.13, lowest-direct, windows-latest)	1m 4s
checks / test (3.14, locked, ubuntu-latest)	1m 30s
all-green	4s
	17m 6s

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