`[Async]ContextDecorator.__call__` return type should depend on the underlying context manager's `_ExitT_co`

[!Important]
Please see https://discuss.python.org/t/support-suppressing-generator-context-managers/103615 first!

This is how ContextDecorator.__call__ is implemented in the Python standard library:

def __call__(self, func):
    @wraps(func)
    def inner(*args, **kwds):
        with self._recreate_cm():
            return func(*args, **kwds)
    return inner

In typeshed, ContextDecorator.__call__ currently has a return type of the original callable (func).
However, if the return value of self._recreate_cm().__call__ is truthy, the return type of ContextDecorator.__call__ can as well be None, like in the silly example below:

from collections.abc import Generator
from contextlib import contextmanager, suppress
from typing import reveal_type


@contextmanager
def zero_division_to_none() -> Generator[None]:
    with suppress(ZeroDivisionError):
        yield


@zero_division_to_none()
def div(a: int, b: int) -> float:
    return a / b


reveal_type(div(1, 0))
# mypy, pyright: Revealed type is "builtins.float"
# Runtime type is 'NoneType'

My first shot was to patch the proper __call__ functions to "extend" the return type with _ThrottledExcReturnT (a new type parameter of ContextDecorator), constrained by Never and None, with the default type Never for backward compatibility. To me, there's no way to declare the relationship symbolically, so it would have to be typed manually in classes implementing the context manager protocol.

Start with the linked Python discussion and the standard-library implementation in Lib/contextlib.py, focusing on ContextDecorator.call and the underlying context manager's _ExitT_co. Determine a supported type-level relationship for the wrapped callable's return type, then verify that the annotation reflects cases where context-manager suppression returns None.