While man and mammoth were in the same neighborhood, it’s highly unlikely that a group of humans could have put the final hurt into the population with stone tipped weapons.
If it were true that primitive technology was sufficient to wipe-out swaths of mega-fauna, by that reasoning, elephants, rhinos and other similar mega-fauna should have become extinct by the time the first puff of gun powder reached the shores of africa.
Man didn’t become dominant by shooting from the hip or acting like tarzan.
The mere evidence of clovis points stuck in bones doesn’t demonstrate cause of death.
Our ancestors were pragmatic scavengers and not the foolhardy type to risk their lives (or the life of a hunting party member) to take down a mammoth when the abundance of smaller (less harmful) game was bountiful.
My 2 cents... or 2 clams as Fred Flintstone would insist.
As a big fan of ERB, I have to tell you that we should all be so lucky as to have mankind “act like Tarzan”; i.e. as a responsible steward of the wild.
Whatever the logistics of extermination of megafauna with stone tipped weapons, the disappearance of many different species of mega-fauna over many different lands- that just happen to coincide with human habitation - seems to indicate that it really might not have been so difficult as you imagine.