Now asyncio.Task has a strict hardcoded check for futures processes on task's step.
Sometimes third-party library [1] wants to replace it with custom logic.
Currently it is impossible without implementing the full asyncio.Task replacement from scratch.
`asyncio.Task` is a non-trivial highly optimized part of async, keeping a third-party version in sync with the reference implementation takes more time and effort than it should be.

This issue proposes adding `Task._check_future(future)` method that could be overridden in subclasses.  The default C implementation uses a fast path that has no performance penalty.

1. https://github.com/aio-libs/aioloop-proxy implements nested loop proxies that are very useful for writing tests. A proxy can work in parallel with ancestors but checks all own acquired resources cleanup on 
the proxy closing.

New changeset d4bb38f82bf18b00db3129031ce4969b6f0caab9 by Andrew Svetlov in branch 'main':
bpo-47167: Allow overriding a future compliance check in asyncio.Task (GH-32197)
https://github.com/python/cpython/commit/d4bb38f82bf18b00db3129031ce4969b6f0caab9

Sorry, I don't like the committed change and I think it should be reverted.

Futures and Tasks have a documented `get_loop()` method which simply should be called by Task machinery, without the need to expose (and document) private methods.