Yeah, it did, because people smelted the natural copper ores that have tin or arsenic in them.That is not the same as deliberately producing bronze, and the scale of those early bronze artifact production was much smaller.so let's say one place which had those ores on the ground would produce the bronze instruments, whereas all the other places around could not.What would be the impact of that happening? Pretty much negligient.Otherwise, why would actual smelting of different ores start only at around 3000 BCE (when bronze-age civilizations were already there?)

As for downplaying - in my opinion it's you who downplay a drastic change in human civilization that happened with agriculture. Raising crops and cattle allowed for a completely different way of living, with smelting bronze from separate ingridients (so you could combine much more abundant copper with tin and arsenic, instead of looking for a very rare natural combination of both), trade, and food surplus that lead to people being more specialized.

All you hunter-gatherer society fans say is that somehow life in those times was better, because people were all equally living in precarious conditions.
Sure, maybe early settlers in agricultural societies were not that happy with their life, but they had way less problems every year with food shortages, had some kind of state to protect them, and were capable of creating city culture, which we are all part of now.
While hunter-gatherers could be wiped by a hostile tribe at every given moment, every winter-spring could lead to starvation, and the amount of resources to spend on anything except survival was miniscule