Whether or not your accuracy depends alot on the quality of the stock being used. I learned the hard way that wrapping a flimsy stock, like what savage uses, will most definately change your zero. It was a while ago I made that mistake, but if I remember right, my point of impact lowered around 4-5 inches. I was using the same camo vet wrap that is shown above. I just don't take the chance anymore and wrap my barrel only to where it meets the forearm. I would be hesitant to wrap you gun and resight because heat, moisture, cold, etc. can cause the wrap to expand/contract creating a real nightmare.