In any event, humans are a known special case for lots of other stuff, as we have advanced cognitive function and predispositions to social reasoning and inter-generational cultural preservation, so to my mind your statistical argument is obtuse at best.
Well I included statistics, but as I note gender domination is evolutionary in mammals. Evolutionary arguments != statistical arguments.
>Non-patriarchal != matriarchal
Correct me if I am wrong, because I did interpret non-patriarchal to mean matriarchal, so I am left assuming what you meant by non-patriarchal is no gender domination pre-agriculture, is that right? If not, what does that mean, I tried googling it and I get the wiki article for matriarchy.
If you meant no gender domination, that would make humans the only mammal to evolve to not have a gender dominate hierarchy. Moreover, since other mammals all evolved to have gender dominated hierarchies and since they don't have the fancy cognitive functions we have, wouldn't it be safe to say like all other mammals, we evolved and developed a gender dominate social structure first and then higher brain functions? Moreover, if primates evolved to have gender dominated hierarchies and modern humans have gender dominate hierarchies (even with our superior brains), then why would we not have had a gender dominate hierarchy until the advent of agriculture?
I think that is unlikely, especially if the support of the entire social dynamic changing is the introduction of warlike/raiding and higher population densities.
For example, there are ~5,500 species of mammals, and only 3 species of mammals have female dominated social hierarchies, and the theory on those is evolutionary not social. Therefore, your statement would make humans only the 4th mammal having a female dominated society and the only species to change the power dynamic for social reasons. I can't refute there are and have been matriarchal societies as you mention, but like the mammal population that would be the exception not the rule.