Interesting case: _PyErr_WarnUnawaitedCoroutine():

        if (PyErr_WarnFormat(PyExc_RuntimeWarning, 1,
                             "coroutine '%.50S' was never awaited",
                             ((PyCoroObject *)coro)->cr_qualname) < 0)
        {
            PyErr_WriteUnraisable(coro);
        }

The unraisable exception is logged with default "Exception ignored in: ..." message. Should we use a customized error message here?

In my PR #13490, I have to catch stderr and sys.unraisablehook to catch the warning and the unraisable exception in test_coroutines.test_unawaited_warning_when_module_broken():
https://github.com/python/cpython/pull/13490/files

@graingert @pablogsal @serhiy-storchaka: Would you mind to review this PR? I don't recall who asked me to allow to specify a custom error message :-)

I rebased my PR and merged conflicts.

@serhiy-storchaka: Would you mind to review the update PR?

@serhiy-storchaka @pablogsal: So do you agree each other on "Exception ignored" prefix? :-)

So do you agree each other on "Exception ignored" prefix? :-)

Yup, I'm happy with it :)