I hate to break it to you, but you don't have zero odds now. And you won't have zero odds if these laws get passed. Nothing is going to stop a pervert from dressing like a woman to "sneak a peak"so who stands at the door and checks to make sure you are really a girl in a mans body and not just a man in a dress who wants a peak?
Low odds for my girls is not as good as zero odds
Funny thing is that everyone has already been in bathrooms with transgender people and haven't even realized it.