This is the final step in #11518, except for possibly renaming - for motivation, please see that PR.
If this is merged, then migrating the test framework from asyncore to asyncio should be easier (I say should because I haven’t dug too deeply into what would be required).
Requesting review from @ryanofsky , since he always has good feedback on these refactor PRs, and I’d appreciate his take on this refactor. Note particularly that I’ve reverted the change suggested here: #11182 (review) . The idea, as always, is to present a simple interface to the test writer.