I'm kinda bouncing back and forth on this question
While I was do agree that women on average are more narcissistic and self-absorbed, I feel like it's more of a facade they put on because they can be humbled quick by a dude they're feeling. Alot of women are really insecure inside.
Whereas with men I was thinking about Testosterone and how men are competitive by nature. Hurting a man's ego has more devastating effects on society IMO. Mainly because of the threat of physical violence occurring and the levels men are ready to take it to. So many nikkas have been killed over ego.