As one that worked in the NHS, one of the biggest problems are the number of managers , some of which are no more than drones.
If the morons wish to pursue this madness, they should create changing rooms just for them.
In the hospital I worked at in London, had a man in a frock attempted to invade the female changing room, they would have regretted it, as some of those female nurses were pretty aggressive, and didn't take any BS.