There are other factors at play. I'm sure the following is related to agriculture also
The Cosmic Winter pg.36
However the scheme of never-ending technological evolution, so alluring to the nineteenth- and twentieth-century mind, began to look rather vulnerable when it was realized that some Europeans were extracting and processing copper well before the fourth millennium bc. It was clear then to the experts that if the idea of evolution was not to be abandoned, technology would have to become something of an incidental theme. The notion emerged therefore that separate communities would evolve in parallel because of some innate natural law of human behaviour.
This "innate natural law of human behavior" may just be a modern fabrication.
Seems a reach to me. It only applies at the very basic level. Most primitive shelters look similar for instance. A round floor plan and a tapered roof. It's just the most practical form. There needn't be a common origin between wigwams in North-America and a cow dung huts in Senegal. This would be an example of "innate natural law of human behaviour".
I don't see how this could apply to specific cultural expressions or more than basic technology. Not even Jungs collective unconscious on steroids could account for some distinct similarities seen all over the world.