I think a lot of it is in how the rifle was designed. For instance, one of the selling points of the T/C Black Diamond was its free floating barrel which they claim added to down range accuracy. My BD is free floating and is a very accurate rifle.

Now my Knight Disc is definitely not free floating. In fact when in the stock, that barrel can not move. Almost like the stock was molded around the barrel. And again very accurate. But then the rifle was made that way.

Is your Omega X7 free floating or bedded?