I'll start by saying that I'm a staunch believer in getting a fish unhooked, photographed/filmed as quickly as possible, and back in the water. With that said, if I catch a small fish (less than 2 pounds give or take) I'll lip and lift. I don't believe there is enough weight in the body to do any damage provided you work quickly. If we're talking about a heavier fish, I may still lip it, but support the tail or belly so is not to strain the jaw. In either case, I don't ever recall releasing a fish with a broken jaw, or a mouth permanently stuck open. There are much more unhealthy, terrible things done to fish on a regular basis. If you think about it, sticking a hook through a fish's face isn't exactly the most gentle practice, but it's what we love to do.