On my Wolverine the barrel seems to fit tight on both ends of the stock... the breech is good and tight on that end and the forarm part looks to be in place.

Perhaps you are snugging the barrel down too hard. Try backing it off a little until the rocking effect is not there anymore. Then give it a try. I do know some people bed the rifles. I have never done that. I do try and tighten the barrel to the same feel each time I put it back.

In my Black Diamond XR the barrel is free floating. Might be why that rifle is so accurate...