I would like to suggest allowing passing "delete=False" to the TemporaryDirectory constructor, with the effect that the directory is not deleted when the TemporaryDirectory context manager exits, or when the TemporaryDirectory object is deleted.

I realize that this would effectively duplicate the functionality of mkdtemp, but this is similar to the redundancy between NamedTemporaryFile(delete=False) and mkstemp, and would make it easier to switch between the two behaviors (which is useful e.g. when debugging, where you may need to look at the temporary files "post-mortem").