I think people in these discussions over-assume that patriarchal is consciously intentional. So we're confusedly agreeing?

> The social structure that results is emergent, not designed.

... yes, and the undesigned structure that has emerged we are labelling "patriarchy".

> the social structure of humanity is based on genetic necessity

... requires a lot more unpacking. Is this asserting that culture doesn't exist and material conditions are irrelevant? All behaviour is only genetic? I don't think that's what you're claiming, but I can't parse it otherwise.