If transwomen say they can't use the men's toilets for fear of encountering men, this is understood immediately.
If women say they don't want males in the women's toilets for fear of encountering male bodied people, this is bigotry.
A male identifying as a woman is respected. And of course this male knows very well whose space he wants to be part of; choosing the women's space involves presuming the identity of all the women using it.
On the other hand, not only are women disallowed from identifying themselves (instead, we will be given the words to use when referring to ourselves - c*s, uterus-haver, person with a cervix, pregnant person), but we are strictly disallowed from identifying others, too.
Only one sex has the power to identify not only themselves, but everyone else, too.
It's not women.