Okay, we know type is not scientific, but let's suspend that for a moment & pretend it is. What if it's not women being more neurotic and agreeable, but feeling types? Since more women are feeling types than thinking types, then without that lens, it's just going to look like a male-female difference.
This seems relevant concerning we are talking about female INTJs & male INTJs. If those male-female differences (and not saying there are none, but referring to some of those you linked) are about most men or most women, then you have a problem applying it to type since most women are not INTJ women, and most men are not, say ESFJ. The standard for women is pretty much xSFJ & no surprise most women will reflect xSFJs in those studies. So are INTJ women adopting some of that because it's biological or because xSFJs define the standard for women & for xSFJs it is natural, and the rest of woman are expected to be the same. You cannot know this if you're just looking at general male-female differences.
And the idea that INTJ women are more socially adept is just random anecdotes from people. Dario Nardi, using EEG & "brain mapping", says that INFP males are more aware of & responsive to social cues than INFP females - why? Who knows. Maybe it's because INFP is less accepted for a male personality & they feel more need to be aware to adapt to male expectations. Perhaps INTJ females have the same reason for their higher awareness of social cues. This points to personality type & gender norms being the reason, or else INFP females would be them more adaptive ones.
In any case, there are many possibilities for such observations, which may not point to any pattern in themselves.