…Patriliny is really not the way to go. I mean, seriously. For most of human history, we could not make absolutely certain who the biological father of a particular child was. However, the fact that biological mothers very frequently bear biologically related children made it pretty apparent that a certain mother was the biological parent of a certain child. Yes, I understand that now this connection is complicated by sperm donation, egg donation, surrogate parenting, etc., etc., but, for much of human history, you could pretty much depend on a biological relationship between a kid and the person out of whose body the kid was born.
If we used matriliny instead of patriliny, our current standards of reproductive control would make no sense. We wouldn’t necessarily want to police the behavior of childbearing people, girls, and women in general. We’d probably think that their reproductive experiences were open and honest, in comparison to the hidden — and quite possibly sneaky — actions of people with sperm, boys, and men in general. In fact, I can easily envision a deep distrust and disdain for people with sperm, based mostly on the fact that the results of their reproductive experiences are not necessarily obvious. To go even further, I could conjecture that this contempt for people with sperm would probably develop from a time during which the matrilineal people believed that childbearing people just had babies spontaneously and people with sperm didn’t have anything to do with it.
That would be a reversal from our current, actual attitudes toward childbearing people and people with sperm, and don’t for a minute think it would be any sort of improvement!