I'm not sure why you're attempting to call out non-existent fallacies and having so much difficulty accepting the hypothesis.
The person in question averaged roughly 40 miles per day. The specific example provided in the wikipedia article - full of citations to supplementary materials - detail a group running up to 35 miles per day.
So it's not at all like persistence hunting - something done by traveling a long distance, usually running, over an extended period of time - because people are running for too far of a distance or for too long a time?