James makes a good point. Adding to what James said, I made my statement based on rifles that are both bolt-actions and of similar weight. The .270 is a Browning A-Bolt (I) Stainless Stalker with a 22" barrel with muzzle brake and I have two 7mm-08s - one is a Remington BDL SS DM (Stainless Synthetic - Detachable Magazine) with a 24" barrel, and the other is a Sako 75 Stainless Synthetic DM with a 22" barrel. All wear scopes that are similar in weight.
Zachary