absolutely anything can happen.....full length bedding.....front pressure point.....however my experience has been for free floating barrels and thin barrels such as the Winchester featherweight included.

I free float the barrels and then use reloading techniques to achieve accuracy.

If I can't make the gun shoot well this way I trade it off. Only one so far was a M-70 .300 H&H that I couldn't get to shoot under 2 1/2" All others would eventually shoot good enough to use as a hunting rifle.