heart shot deer can run an amazing distance. If the last thought in the deer's mind is "run" then run it will, unless you have physically broken the nerve path to the legs. 1/4 mile, easy, a full mile before piling up? Unusual, but terrain makes a difference too. I've see deer dropped DRT roll a half mile down a steep mountain! (Weel, maybe not quite that far, but it seemed like 4 miles back up!
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Sometimes heart shot deer just collapse. Sometimes they run. THAT has very little to do with the caliber they get shot with, within limits.
Lung shot deer run too, but seem to travel less, on the average. And some just sink to the ground. You can get either or something inbetween, with exactly the same hit, on different deer. Can't tell you why, I think only deer know, if they even do...
Essentially, if the flight reflex is kicked in, deer can run until the brain runs out of blood (oxygen), then the deer stops, dead. sometimes its only a few yards, other times it's an amazing distance. This does NOT constitute any kind of failure on the part of the bullet, or cartridge that I can see.