As a counter point, African megafauna did not go extinct during the same time period, despite the constant presence of humans. African climate was also more stable during the time. On the other hand African megafauna would have co-evolved with humans, so they may have been adapted. But probably there was no single cause.
There’s enough food in africa where even today going out to hunt an elephant demands a brush gun and a white superiority complex, and is not how most hunt the bush.
