The outer skin is pretty thin, but after butchering many a bird, skinning and plucking, it takes a bit to tear it if it's not over scalded. I'd agree that small birds like parrots and such have very thin skin though. So I don't think the sutures will tear out that easily on a chicken.
Be careful with things like lidocane and pain relievers used on mammals. There have been a few cases on this board that application of even pain relief neosporin has caused cardiac arrest in their birds. It's toxic to them.
Good luck!