And yet cultures that had access to animal based proteins tended to be the ones that were more dynamic. Nutrition had to be in play, there. You can spend thousands of years scraping starch out of sago palms, but apparently it is hard to build a civilization from it.Matriarchial and matrilineal are different, but get confused sometimes in anthropological discussions.
Outside of the arctic, in most hunter-gatherer cultures the basic, reliable food supply is what is gathered. Hunting and fishing provide supplemental nutrition.
Civilization was going to be patriarchal for a variety of reasons, all of them practical for their time, and none of which have any real importance anymore.