As I noted in the OP, Egypt and Summeria did not arise for close to 2K years AFTER these incursions. Plus, early Egypt was quite friendly to female power - and women used to routinely do both commercial and legal business while their husbands stayed home and did the weaving. As patriarchy spread, that eventually went away.

And as I also noted and documented, we'd already had thousands of years of large towns and even cities that did not operate via dominance hierarchy before that arose. There was approximately 5k years of agriculture that did not bring about this sort of social configuration.

Can we absolutely know for sure that dominance hierarchies would not have come about some other way eventually? No, of course we don't know that definitively, but what we do know is that this is the way it actually happened.