My entire house has popcorn ceiling texture(asbestos free). I've taken on the job of scraping the ceilings and figured while I was at it I would skim coat the walls to cover up 30 years of holes and dents. When I started removing the painted molding around the windows the paint started peeling off in large pieces. It keeps coming off. I think I know the answer to my question but Ill ask anyways. Do I need to peel off all the paint possible before I skim coat the walls? It seems as if I will end up peeling off all the paint in the room. Thanks