You actually think that there are that many people who would go through all the trouble to inevitably get caught doing as you ask?
I doubt 1% of the "pervs" who dress as women to go into women's bathrooms dressed as a woman could get away in those clothes. Even when we were young, skinny and quick, I doubt many guys could escape in a dress, much less in heels.
you are grasping at very long straws.
Why would they have to 'get away'? In your world they would be allowed in there.