I'm not commenting on the topic of your post, but rather your idea that your view is the only reasonable or justifiable one.

Obviously you don't say that in so many words, but you began by declaring yourself a 'principled person', implying that the women who don't agree on changing facilities aren't.

You end by challenging readers to accept that your position is reasonable and justifiable. Why would someone disagreeing with you do that? Presumably they disagree because they don't believe your position is either of those.

Inviting comments with that caveat isn't really an honest discussion is it?