Bad-Tastin'!
I have hunted many types of game in my life and in many different areas and countries. "ONE" thing, of most importance, with regards to good tasting meat versus bad is this: The condition and conditions of the hunt and the "kill".
I'm not a big dog-hunting fan...except for pointers, setters and retrievers for bird hunts. Here's why...Adrenaline! A whitetail that has been killed after being chased with dogs is (almost always) "stiff" when it is immediately retrieved. Adrenaline has been pumped through it's body...hence the stiffness.
A whitetail that has been "still-hunted" is limp-n-limber when retrieved. Much better tasting also. The same goes for hogs. Now: If a bad shot, resulting in a run-off, will often have mixed results.
I have, most assuredly, have had game run off that I had shot..."BUT"...(There's that word again)...I usually aim for the base of deck, higher portion of the shoulder to "drop" game where it stands. Game running off with a kill-shot from an arrow will not show great stiffness. This is because of the lack of alarming "boom" as when shot with a firearm.
In all of these scenarios one thing is common: Lack of rapid adrenaline flow leaves tasty meat.
Stay Sharp, Capt. Chris