A trans-woman does not equal a peeping toms or many, many more boys and men trying to access woman's spaces.

Malicious boys and men exist. When I went to a Christian camp when I was in 5 grade a bunch of malicious boys took my camera to try to take pictures in the girls bathroom. That was in the 60s.

Equating a trans-woman with a malicious man posing as a woman is not valid. Gender dysphoria is real. Read my comment to Steve's comment.