No, that only applies when the suit is fully "worn" (in the fox suits' case, it needs to have all three areas bound; some suits are worn if only legs and arms are bound).  You also only deal half damage to a worn suit, and only remove it from one area; extra "damage" beyond what's needed to remove the suit doesn't remove it from other areas.<br/><br/>I know I was thinking about removing that part earlier, but I am going to change my mind and say that yes, you do remove worn suits with damage (but only deal half damage).