I have a brand newish, 4 year old Winchester model 70 Sporter LT with a walnut stock. Should I be able to slide a piece of paper wrapped around the barrell all the way down to the first mounting screw? Because I can't slide the paper in the stock at all. The stock has remained on the barrell since I purchased it brand new. Is that a problem? Will that affect accuracy that much? It's a 270 by the way.

Thanks for your feedback in advance.