As the youngest of four brothers (3 surviving) I feel particularly qualified to comment on this thread. One of my brothers lives about 3 miles away, one about 230 miles away, and the family of my late oldest brother also over 200 miles away. I don't feel (and never have felt) any need to maintain contact with my brothers on a social level. I have not seen the brother who 3 miles away since Christmas and the one who lives "Ooop North" I haven't physically seen for about three years. It is not that we bear each other any animosity - simply that we move in different orbits.
I know that each of them is only a phone-call away. If I needed either of them I would ring them and I know that they would come to me. Likewise if they needed me, they would ring.
My wife, however, keeps contact with her three sisters-in-law, so the family contact does flow through her. Interestingly, she also keeps contact with her own cousins, 2nd cousins, and some "cousins" whose actual relationship is so tenuous that she can't even tell me exactly what relation they are!
So to answer the OP's point, yes I think it is a gender thing.