Based on my limited experience, you will get either the shoot well, but not with the same load. I full length bedded a M70, 7mm-08 with a sporter contour barrel many years ago. Worked up a load that was shooting 7/8inch at 100. I later got a new stock (nicer wood), and bedded the action/lug and floated the barrel. That sub-MOA load was now shooting 1.5in+ at 100 with the floated barrel. I was able to work up another load, with a different bullet, that shot a little better.
