The argument is more that there is nothing stopping perverts right now. As is shown by this outstanding individual.

There is no reason to change your gender to do the things perverts do.

And trans people do not get a free pass to do pervert things in the bathroom of the preference. This would also be illegal for a trans person to do.

So trans people doing perverted stuff is indeed not a problem. Atleast not any more or less then non trans people doing it.