This is a somewhat uninformed opinion. However, I used to know a Vietnam-era medic. He was the one that taught me about using sanitary napkins as a makeshift pressure bandage. We got to talking about bullet wounds one time, and he said that civilian wounds could be much worse than battlefield wounds due to the use of soft-pointed ammo. A hard-ball round would pencil through, and you had a pretty good chance of doing something. He'd seen a hunting-related wound while working as an EMT and looked to him more like shrapnel/land mine stuff--very ugly and the victim died.
About this same time, I chanced to meet up with a vet who'd gotten wounded several times over the years. Her worst experience was getting shot by a merc that caught her in the side with soft point civilian ammo-- very nasty wound.
My guess is that if you catch a bullet anywhere significant while out hunting, chances are you are going to bleed out and buy the farm before anyone can do anything. You can also forget about broadheads. I've known of very few archery-related incidents, but they were almost all fatal. The one that wasn't was a guy guiding boar down in TN. He caught a richochet in the leg from a client's miss.

