I think unhooking should be done the upmost care and precision, so many times I've seen anglers with their fingers deep into a fishes mouth trying to extract the hook, If it is quite deep get the forceps out and be ultra careful no to pinch the fishes skin, Even if the hook is through the bottom lip DON'T just rip it out, take it out the same way as it came in... carefully

I once saw an angler literally rip the hook out of a 22lb specimen and cause even more damage to the fishes mouth upon my questioning his approach he said it'll be fine I've got klin-ik
I was completly shocked