Your final sentiment resonates very strongly with me.

I have felt that nearly universally, the mostly-false stereotypes, statements and accusations made against men fall into the "projection" category. Men being obsessed with sex is the most noteable of them. Second only to the hologram that men are the ones that pressure women to look good when it's in fact almost entirely the abuse from other women who are competing for sexual interest and potential mates.

I don't think cognitive dissonance and projection are unique to women. It's a shared human frailty. But as it relates to projecting their weaknesses/faults on to men it can be egregious at times.

I imagine it has to do with all of the sexual assault that they deal with regularly. Just a guess.