if it has actual felt movement then under recoil i could see how that would affect accuracy , everytime you pull the trigger the recoil shifts the point of aim. even if the movement is very very minimal at the muzzle end , it can be inches and even feet off of target at longer distance ranges. how much play or wiggle is there?
remember , a 1/16 " at muzzle travels further away 300' down range and only increases the further it goes.