What. Is. The. Problem?
Are they peeing on the floor? Are they not washing their hands? What?
I believe that a KEY reason women fought for their own public restrooms in the first place was to increase their safety. In an earlier post you indicated that you think this policy is maybe not necessary. Am I paraphrasing you accurately?
So no, it's not about peeing on the floor. Women's restrooms help protect women from being assaulted and raped. They are not a perfect solution, but they help.