Women either want sex or they don’t. They’re either equal partners in desire — and biology says they very much are — or they aren’t.
If they want sex, if it’s a desire and not a fungible commodity, then women would no more withhold sex to get something they want than men would.
If, for men, sex is something more than a compulsory sneeze, then withholding sex wouldn’t have much effect on them in any case.
Which says that the Lysistrata option is really rather crap. (You know the story. Ancient Greek woman who organized the ladies to withhold sex from their husbands until the guys agreed to whatever it was.) The story requires the whole patriarchal poison pot of sex as masturbation for men that women put up with for reasons of their own.
Could we all stop buying into that?
It is not some kind of empowerfulling for women (or men) to see how much they can get in the market for sex. It’s stupid.
Sex isn’t some kind of candy you buy or consume. It’s not something you use. It’s a conversation. It’s something you do.