In the case of the lion story, I'd say the first shot.

But what Larcher mentions is not unknown here in Norway when it comes to driven moose hunting. The logic behind this is to try and entice hunters place accurate/deadly shots. Some hunters can be tempted to take an intentionally non-deadly shot at a good trophy, if that's all they can see of the animal, just to draw "first blood". Which generally results in the animal suffering for quite some time, and eventually getting a deadly shot from someone else (maybe even several days later). By a dog handler/tracker for example.

So although I can understand thinking: "Who wants a trophy from an animal someone else already shot?", we can also twist it around to: "Who wants a trophy from an animal they only (intentionally?) wounded, but someone else had to kill?"

Erik