I use wrist/index style (Scott wildcat)for hunting and strictly Thumb trigger for 3D.(carter Just Cuz+)
The difference in POI can be attributed to two things, how the string or loop clears the jaw or jaws. (1 jaw vs 2 etc) and location on your face that you anchor. Some guys can interchange between the 2 with no difference, others can't even use the same peep height comfortably.

I really wanted to use my carter for hunting this season as I am much more consistently pinpoint accurate with it but I also wanted to use my bow camera mount (www.deerridgeinnovations.com) and the surprise release that the back tension style gives me really throws the camera off target badly at the shot. I can still shoot accurately by commanding the shot with the index release and the camera stays pretty much on point of aim so I think I'll just stay with it.
A good soft trigger IMO is essential for an index hunting release. When things get hot and heavy you don't want a heavy double sear style that takes a lot of pressure to fire because when you DO mash it (and trust me everyone punches an index release while hunting) the extra tension can throw you off especially if you've been practicing nice controlled back tension.

It sounds weird (especially coming out of MY mouth LOL) but practicing controlled smooth quick trigger action is important to realistic hunting conditions. It's not ideal obviously for absolute optimal accuracy,but when you have a split second from stopping the animal to shooting all that pretty flatfooted level back tension shot progression crap goes right out the window! [8D]
You need a trigger that just flows smoothly backward with no hesitation, apply pressure and let er rip. Don't confuse it with "Drive by Shooting" where guys just SWEEP the trigger in one big rediculous motion........but learning to shoot by commanding the release with some speed and control is paramount.