"There were the same questions on FR."
Here's an even better question: When was the atlatl displaced by the bow and arrow. I don't have the resources to research this, but it appears smaller atlatl points were displaced by arrowheads around 600 AD. That would seem to date the European presence.
That's one of the things that doesn't get talked about much.
Decades ago I read something in Scientific American that seemed to indicate Native American bow technology came by way of Asia,