Going even further back in time, Kon-Tiki back in 1947 demonstrated it was indeed possible to travel on a balsa wood raft to get from South America to Polynesia, settling that part of the debate.
Of course, Heyerdahl's diffusion model was completely wrong, but that's a different topic.
Incomplete, perhaps, and vastly oversimplified, but not "completely wrong"; the more genetic evidence we get, the more it appears that ancient people moved around much more than we used to think.
https://www.cell.com/current-biology/fulltext/S0960-9822(14)...