Well, I meet a lot of people during the day and have discussed this matter with people from my own area. I have yet to meet one who would be happy to share a lavatory with a person of the opposite sex.
All see it as an invasion of privacy.

Now even if these TG people believe they are women, they certainly are not, even after the surgery which is now available.

Removal of male genitalia does not make one "a woman".......being a woman is immensely more complicated than that.
What is meant, is that they wish to be regarded as a woman......that wish is hard to quantify, where is the line drawn etc, it is wide open to abuses of all sorts. best to draw the line at birth gender.