I mean, the ability to run long distances without tiring is kind of what makes humans an apex predator. We can out-endurance just about every other creature. Most ancient human hunting techniques involved just wounding an animal, and then literally chasing it until it got too tired to keep going.

Wolves are very similar, which is what made us such natural hunting companions. The co-evolution of humans and dogs is an extremely interesting rabbit hole, if anyone is looking for one.

All that to say, the wolf would understand the need to run more than just about any other animal. A bear would work better here. A wolf would just see us running and think 'game recognizes game', just like they already did eons ago :3