Well, in your explanation the shaming part still comes from other people, like parents, who pressure the person to go through with it. They are the ones harming the person, not the Conversion Therapy. It cannot harm anyone on its own at all. People are not that naive, they can understand when it doesn't work. But it also can give a way out to a person, pretend that everything is back to normal, ease the pressure to avoid anxiety. People are resilient like that.