I have shot through deer in the shot you describe, but I also know that human error is a factor that we have to account for. It the deer moves, you could screw up the shot, if you pull the shot you screw up the shot, any number of different scenarios could happen that would leave you with a wounded deer, including complete bullet failure, and yes, it happens once in a while. And percentage of hunters that shoot running game that can do it very well is lower than we would like to know, although I hunt with a friend that can take a pheasant out of the air with his M760 .30-06, I have it on tape, it's amazing, same guy can take out a running deer at 250+ yards with the same gun, open sights, it's something you have to see to believe, he's 56 and got the rifle for his high school graduation present, only big game rifle he's ever owned. If you don't believe me I won't be offended, like I said it's something you have to see to believe, and yes I know he shouldn't shoot his .30-06 into the air at pheasants because of the backstop issue, but if you've been to western South Dakota, you'll know it's a low possibility for an accident.
Selmer