Why sure. We have the DNA tests ready by the door so you don’t have to wait too long to get into the room after you have proved your gender to our satisfaction.
Molestation and propositioning has always been verboten in the public loos. These modern rages don’t change that.
And children would always be wise to be wary around strangers. The strangers who look weird may not be the worst dangers; the strangers who look normal may be.
By demanding that restrooms be limited by biological sex instead of gender, you are actually opening the door wider to pedophiles who can simply say they are transgender and be allowed entrance because transgenders dress and behave as the opposite sex. This is like a liberal who argues that more gun laws will prevent gun deaths.