ORIGINAL: Rammer
I have a Browning A-Bolt Stalker in 7mm Rem Mag, and one of my hunting buddies has a Browning A-Bolt Stalker in 300 Win Mag. I sight in his gun for him every year, and I can tell you the 300 has more of a sharper "hit" to the shoulder, and the 7mm has more of a steady "push" in recoil. Both have the same muzzle blast, and the same muzzle flip.
I've never shot a Remington bigger than 30-06, so I can't help ya out much. Other than the Remington 30-06 was alot easier on my shoulder than a Savage, or Ruger M77 30-06.
I have no doubt about what you say here. But I have noticed this same difference in the same rifle just by using two different type powder's. I really believe all the other variables make the difference in felt recoil between these two cartridge's. But obviously the 7RM should have slightly less felt recoil when comparing apples to apples. Tom.