I don't suggest that women fail to understand that individual men aren't good at social perception or intuition (as you imply, that would indeed be contradictory); I'm merely suggesting that women are prone to perceiving this failure as meaning the men in question are broken (i.e. not "real" people).

Fixed that for you.

The default tendency is for people to assume that people unlike themselves are defective; it is an uncommon person who can look at a typical person of the opposite sex and not see an apparently-broken person of their own sex.

This bears repeating.

And read this, too.