taw comments on Counterfactual resiliency test for non-causal models - Less Wrong
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Some counterpoints:
Behavioural modernity without common cause like language, and without any definite characteristics that weren't present earlier in some form is far less plausible, and pretty much falls apart.
Migration out of Africa is dated at anywhere between 125kya and 60kya, not 50kya.
Even starting count at 60kya, agriculture being invested 10kya multiple times independently is still extremely surprising.
Even disregarding admixtures with Neanderthals, Denisovans etc. most recent common ancestor is more like 140kya-200kya by mitochondrial and Y chromosome dating. Dating anything here is very dubious, so you can find a number that fits your hypothesis whatever your hypothesis might be.
At each point of history vast majority of humans lived in places very far from those covered by ice, or particularly cold. Agriculture was invented only in places far from ice. These are still climatic effects like rainfall that depend on glaciations, but these are much more tenuous links.
Modern attempts at domesticating plants and animals show it takes a few decades, not tens of thousands of years. Now these are done with benefit of modern science and technology, but still it doesn't imply tens of thousands of years.