I always think the Lysistrata Gambit makes it seem like women only ever have sex because men want to, which is the kind of thinking you'd expect from the Victorian Era.
Lysistrata was an Ancient Greek play. In that time, it was believed that *women* were the gender with the higher sex drive, so the idea of women going on sex strike would have been considered about as ridiculous as... the male population of an American high school going on sex strike.