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.
I was going to suggest that running around at super speed is probably good exercise, or maybe even that he has to do a lot of climbing to reach people doing stupid stuff on top of buildings ect, but I prefer your explanation.
Men are perverts, they 'can't help themselves' however if they cheat, they're usually scum. Women that cheat must surely have a reason because they surely wouldn't cheat just for sex right? (Unless they're not in a relationship, then women are sluts and men are real men who can bed all sorts of women.)
Oddly enough the story that gave us the name of this gambit portrayed both men and women as pervs and ended with the two sides being unable to keep their hands off one another. (This was before christian morality of course.)