You are trying waaaaaaaaay to hard to find a correlation between cartridges used and distance an animal may run.

There is no correlation.

Take a .223 Remington and a 300 Win mag. Despite the difference in power and bullet weight and diameter you could shoot 10 different deer with each cartridge and get 10 entirely different results for each. With either cartridge some deer may run 200 yards, some may drop in their tracks, some may trot off and look back at you and just fall over.

Assuming the cartridge you are using is adequate for the game being hunted there is no correlation at all.