The megafauna were not hunted to extinction over centuries, period.
The extinction was sudden.
The suddenness of their extinction was one reason someone dreamed up the super-hunter model, which is otherwise based on nothing.
The other reason to push the super-hunter model is as a prop for the Clovis-First-and-Only model, which requires that the very first humans to arrive in the Americas expanded from Alaska to Tierro del Fuego in no time flat.
At the time of the extinction event, the human population was miniscule and not distributed across the entire continent.
And there was plenty of other food to eat, game much easier to obtain.
All it takes is for people to just think it through to realize how foolish and simpleminded the super-hunter model is.
And that doesn’t even take into account the fact that the Clovis-point making culture went extinct at the same time.
“The megafauna were not hunted to extinction over centuries, period.”
Well, I thought we were just talking about the mammoths, who did go extinct over centuries. What happened to the great number of species in North America was probably something different, though I would bet that humans helped every way they could if they had the opportunity.
Another thing to think about, is that some extinction events that might seem sudden could still be due to humans, since we’re working off the geological record, which is incomplete and imprecise. If it took humans a century or two to wipe out some large species on a continent, which wouldn’t be that unfathomable, it could still seem sudden in terms of fossils disappearing from the record.