...I learned over the years that sadly, jerking, pulling, trying to remove the hook kills the fish, obviously. When i was a bait fisherman many moons ago as a kid we would simply cut the line as close to the mouth as possible. I was shocked and happy to see that many survive this. I had caught fish that had mono sticking out of their mouths from earlier encounters with anglers. I read once that the hook will work it's way into the digestive system and stomach acids will dissolve the hook. Not sure how true that is.
The problem with gut-hooked fish is usually that the angler sets the hook too late, does not detect the "bite" until the fish has already swallowed it. Quality floats, larger hooks, long shank hooks, snipping the barbs on your hooks can all help. Number One rule: keep your eye on that tip, float or your finger on that line!
cheers!