Not according to the free recoil crowd. But 308 might be around the upper limit of what can handle that, and a hunter stock won't track well enough to shoot it completely free. One guy I shoot with doesn't even grip the stock, puts his finger in the trigger guard and flicks it. I get my hand on it, get my jaw to where it's lined up. Just not jammed up into my cheekbone like when I'm taking a hard hold and muscling the gun onto target.
I use Protektor bags, for a stock like that the either the BB or Dr sloped with the carry handle. Eagle back so the bag lines up with the stock angle and adjusts the vertical.