Sure, but once attention is brought that people are allowed access to the bathroom they want, it'll give way more people ideas.
Attention has already been brought to it. About 3 months ago when North Carolina passed that law it became world news.
What would this supposed pervert do once they get in the bathroom anyway? (That wouldn't get them arrested)
In the wise words of Yosher:
bro who gives a forget? there's stalls, right? when i go to the bathroom i can't see anyone else's junk so what's the issue
Even though the Self Delete rate is the same after surgery
That's because trans people are dealt a stuff hand by society, and even after they've had surgery they still have to deal with that stuff.
Also cite your sources
this is coming from fake mythology that dates thousands of years ago
this whole transgender bathroom movement has basically gone nation-wide now and everyone knows about it. don't expect people to not take advantage of it.
Two-Spirit people, for example, were non-gender-conforming individuals that had spiritual significance in certain Native American communities. These are not just mythical made up figures with gender-variance. These examples are about real people.
Pecon covered your second statement pretty well here:
Many states have had laws in place for years which should have already 'brought attention' to the issue in those areas, and yet not a single case of abuse of those laws has yet to occur. It seems statistically improbable that trend would suddenly change in different states.
You're really giving too much credit to people's humility, almost nobody who can avoid it will willingly wear the title of transgender.