I'd expect with_span to catch errors/exceptions, call record_exception, set the span status, and then re-raise like it did in OpenCensus.Elixir. I can't see it happening, though, nor find any mechanism for it.

In the OT world, adding events for exceptions is the default for Python, though they also provide record_exception and set_status_on_exception as start options on their start_span so users can opt out. (Note it returns a context manager, so Python's with start_span(…): is equivalent to our with_span.)