The problem with it is that the only men who will be impacted are men who are already our allies. Rightwing extremists have their women (and yes, I mean the ownership sense of "their') well controlled – to the point of fighting to impose that extremism upon us all. You have only to look to Amy Coney Barrett on the SCOTUS to see how hard women will fight against their own best interests in service to the extremist dogma.

Internalized misogyny is real and powerful in the lives of rightwing women.

I am in no way implying that women are responsible for the rise of incels. But, the rightwing doesn't see it that way – that's why your suggestion helps their purity cause. They rightwing blames progressive, liberated – and educated – women for imasculating males and causing the emotional and mental stuntedness of incels. They are absolutely "reactionary movements." But, they are NOT born of "men losing privileges" – they are born of a dogma that makes women less than fully-actualized persons, reducing us to nothing more than vessels for men's wills and urges.

And, making sex into some value traded commodity dehumanizes women and adds to that idea that we are little more than vessels to fulfill the will and privilege of men.