I grew up at a time when running dogs was a standard in west central Alabama. In all those years I don’t remember a non-fatally wounded deer ever being caught by the dogs. Dogs had to go and get pulled off the track often times several miles from where they were put out…. With the deer still going. So to assume a non fatally wounded deer was bayed up, walked up on and killed by a tracker in a distance less many miles, is a far reaching assumption. A fatal wound can be inflicted, as stated here earlier, with any leg or hoof injury. It may not be a rapidly fatal wound, but rest assured for a wild animal it will be fatal. I’d much prefer to see the dog assist in preventing that animal from suffering than have someone say, “oh well, couldn’t find them after looking for 50 yards so reckon they’ll live”.