RE: Does anyone hunt with a true back tension release?
If you properly train yourself to shoot a hinge type BT release there is no reason on earth that you can't hunt with one. I hunt squirrels with one and very few animals you hunt move more than they do. It's no problem.
Now, a guy that has been properly trained to use a BT release will find it difficult, if not impossible to get off a shot quickly with a trigger release. Once you learn the proper way to shoot a release your shot process will take the same amount of time regardless of the type of release.
I can almost guarantee that plenty of animals are wounded by trigger punchers/jerkers.