The previously mentioned Pre-64 M70 notwithstanding with the same action length and a spacer block for the .308, most .308's today are made on shorter and therefore stiffer actions which the target guys seem to appreciate. For hunting accuracy it sure wouldn't matter. I carry a rifle a whole bunch more than I shoot it and I rework my serious hunting rifles into light weigh stocks with shorter, lighter barrels. I made a perfectly good .308 into an even more perfect 7# 7mm-08 and split your difference. In retrospect just shooting factory ammo, the .308 would have been less expensive to shoot in the long run and no animal would be able to tell the difference.
