To think that keeping penises out of the ladies’ room is a “losing issue” is utterly ludicrous.
It’s the modern equivalent of a Prohibition rage.
Pushbacks at the private level might have ultimately solved a loose morality problem (e.g. the Target boycott). But no we Gotta Have A New Law.
What is ludicrous is not to realize that making this a central issue of the Republican platform has more downside than upside. It would be satisfying like telling someone off. However the wise person learns when to hold ‘em & when to fold ‘em and return when they have a stronger hand...such as after the President, Congress and most Governors are Republican.