This is so true! I remembered the first time I performed the "operation", I was so afraid of hurting the colony, as though corals would "feel" pain, till I made a mess of it.
There was a time when I was in one LFS, I told the helper I was sharing the colony with a friend and requested to split it. He said, "Ok!", and with a swift action, ripped the zoas in two with his bare hands! In my mind, I was like, "Be gentle!!!", but the zoas are still doing well and remained healthy even till today.
I've never looked back since, and my fragging has improved. Find the right spot, swift and clean cut along the mat with a sharp razor blade, iodine dip for 5 to 10 mins before putting back into the tank. Hammer & chisel for those that are on the rocks.