As expected, physical activity level, PAL, was greater among Hadza foragers than among Westerners.
Within a standard deviation. Higher on average, but not much, and not significantly.
No where near enough to exert selection pressure.
PAL is 2.26 +- 0.48 for Hadza male and 1.81 +- 0.21 for Western Male. That's an average 25% difference in activity. I'm not a biologist but it seems like that could surely be significant.
Especially if the protein being talked about is generated by strenuous activity above some level. 25% total difference in activity could be a very large difference in activity above a threshold, since both groups are going to spend a lot of the day sitting around, sleeping or walking slowly.
Minute changes are actually a huge part of evolution. Evolution is much more about minute changes than it is about huge (standard-deviation-level) changes.
As far as exercise goes, maybe one standard deviation is enough to produce a brain effect. And maybe there is a lot of variation within modern populations, with many far enough below the average to have a significant effect.
I find it really hard to believe that any healthy Hunter/Gatherers sit around all day like so many moderns do.
That's an even more fascinating idea; so what other things could create the conditions for other repair systems to be activated. Maybe meditation, maybe different drugs, plants, ketosis etc...
And, of course, we know nutrients like Zinc and Vitamin C are essential for tissue repair via being essential for DNA replication.
That is speculation, and is unintuitive. Why would the brain "work hardest" when running? Why would modern humans not exert the same forces during sport? Why would humans, the top group-oriented predator, run from a lion?
The data linked above shows that observed Physical Activity Levels and caloric use are comparable to modern day. Stop inserting your own assumptions into the data.
I'd sure run from a lion if it was coming at me.
Ghost & The Darkness aside, lions generally don't hunt humans. But humans did spend a bunch of time pursuing game over long distances.
Physical activity levels were also within a standard deviation of one another (between western and h/g populations).
The brain evolved in similar conditions to modern man. I would argue current conditions are far better for the brain in terms of good nutrition and low disease.
The effect in the OP was not selected for, it is likely a serendipitous biochemical interaction. Repair enzymes from one part of they also effecting another.