And the idea that men would go so far as to live as women to get a look at naked women makes no sense.
Two parts to this: some will. Some people really are that "committed" to a "bad-faith" bit.
Look at how committed Jason is to that whole "Democrats are the KKK" thing: nobody takes it seriously, it damages his reputation, it's plainly wrong and makes no sense, and has been debunked many MANY times... but for as long as either of us has been here, Jason sticks with it like a religion.
That will happen, albeit rarely. The fact that across the entire country of 300m people, the fear is not even as well-founded as the fear of flying on a commercial plane or of being struck by lightning.