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And likely the women become more unstable as they have more partners

Yep.

it's not a theory, it's a fact. there are many measurable ways it comes up in practice.

one of the big examples is chimerism... the woman ends up with so much nut in her that even if she's 100% female with no birth complications (e.g. conjoined twin), and she's never had a boy child, so there's ZERO possibility she has Y chromosomes from anything other than guys she slept with... then she can test positive for Y chromosomes, often from dozens of different men. and even worse, somehow it blends into her DNA because if she's particularly promiscuous, there are unknown conditions that contribute to it, but her offspring can literally have DNA that's blended from across multiple men.

Look up horizontal gene transfer