And a pronghorn was exactly the animal that was chased to near-exhaustion by a group of ultra-marathoners seeking to test the idea. They got within 25 feet at one point end, and there is little doubt they could have speared it if that had been the objective. If a group of humans inexperienced in this hunting technique could get that close to one of the fastest animals in the world, there’s little doubt this is feasible.
Your description of what happened is incomplete nd misleading, ISTM. From the way you put it, one might suppose that they got within 25 feet because the animal was exhausted and couldn’t go further, while the humans still had running capacity left. That’s not what happened. There’s a description here
They do three laps around the gentle valley trailing the antelope, running behind it for two hours. On the last pass, they push the buck up a small ridge and abruptly find it with a bunch of does, 50 feet away.
Now they’re within 25 feet of a panting pronghorn buck. It’s starting to seem feasible. “For a second, we don’t know what to do,” Esposito later recalls.
“Then we all scream,” says Houghton, “like carnal, primal screaming. Beating our chests. I lunge and it takes off between us.”
Houghton, with Garcia behind him, is in a dead sprint with the antelope.
“I’m trying to scare him,” Houghton continues, “make him use up adrenaline. We’re getting closer. The theory is working. I can see his shoulder muscles rippling.” After running for two and a half hours, they log a 4:36 mile, according to their GPS. It’s 94 degrees. It seems within reach.
The pronghorn continues around the valley for another five miles. They follow, scaring cows, crushing sunflowers, until it rejoins a herd below a small rise. They chase it over the hill and discover that the weary animal has gone the other way.
So it seems like the pronghorn stopped momentarily when they were out of sight and it found its herd, but when it caught sight of them it still outran them for another 5 miles and finally shook them.
In addition, if you look at the technique described in the article, they had about 9 guys and surrounded it, chasing it towards each other. This gives a significant advantage to the people, endurance-wise, since they get to tag-team - the people it’s being chased towards can conserve their energy (and possibly stop altogether) while the animal needs to be in constant motion.
From the perspective of the guys who made the experiment, the above is not especially significant, since they were trying to test the feasibility of endurance hunting, and if it could work one way or the other, the bottom line would be that it’s feasible. But what we’re discussing here is how a human compares to a pronghorn in terms of endurance, and if anything, the indication of that experiment is that the pronghorn has the edge.
[This is besides for the question of whether comparing some random pronghorn to a group of elite ultramarathon runners is a valid comparison.]