The Rock would be bad at persistence hunting, but it would be weird if he was so susceptible to persistence hunting. What incentive does he have to fatigue himself in this scenario? When it's you vs animal, the animal runs from you since if you catch it you kill it. The Rock could just chill and say bring it on. If you were sufficiently mobile and clever, maybe you could prevent him from reaching food and water until he's weak enough for you to attack.