In any case, the fact that, here, the “more advanced” farming women married into hunter-gatherer groups, contrary to many archaeologists’ expectations that hunter-gatherer women would “marry up”, suggests that perceptions need to change.
You heard them, ladies. If you want a man, get to farming.
What i’ve read suggests the farmers taking over was less a matter of extinctions (that was the onset of the holocene iirc), climate shifts or even specialisation (the linearbandkeramik peoples that displaced the huntergatherers were still entirely rural without evidence of specialisation afaik).
The big advantage in favour of the farmers’ expansion was their sheer numbers/density and the fact that by creating their ecosystem (a field farm) they rapidly destroyed the basis for the huntergatherers existence (the forests). Periods of peaceful coexistence lead to the slow erosion of the forest, and war lead to them being overwhelmed by numbers and taking losses they couldnt replace.