The bullet is in the barrel for .200 of an inch during recoil, and of course, the gun moves more on light weights.
There are many ways to skin a cat as you well know in this issue of recoil management. Several things dramatically improved my accuracy:
A. I am right-handed, with the rifle sitting on the rifle rest, I grab the forearm with my left hand making sure that a finger does not touch the barrel. I pull down and back at a 45* angle. For years, I let the forearm sit on the rifle rest, then was squeezing the rear bag with my left hand, I changed that habit, even on benchrest rifles.
B. I installed a Gentry muzzle break on all of my model 7s that were spraying patterns and immediately shrunk the groups tremendously with nothing else done, 243s, 7/08, and 308s.
C. my brother came up with a very unique solution that only a tire store owner could imagine. We knew we were dealing with muzzle flip as a cause of sprayed patterns. He filled the forearm full of those stick-on tire weights that will stay on a wheel at 100 mph. The glue on the wheel weight is adequate, nothing else is needed to keep the weights in place. The small amount of weight in the forearm had a significant effect on accuracy, allowing the tiny model 7's to shoot sub-half inch groups, consistently.
D. I stopped using a Harris bipod and went to using a benchrest with "ears" that could be adjusted in tight on the forearm where the forearm was not flopping around during recoil. I use a Bunny Protector rear bag. I could actually feel the Bi-Pod recoiling like the rifle was on po go sticks when using the harris bi pod!
The vast majority of shooters are bag squeezers with their left hand, perhaps adopting a grip on the forearm with the left hand is a game changer for some, as it was with me. I showed this technique to a Marine Sniper, he was shocked at the groups he was shooting vs gripping the rear bag.
This thread could be a great teaching thread as many mention a "change in Technique" but the devil is in the details. It would be a great thing to hear of how others have come up with a solution, and I am sure that there are many techniques that are more than adequate.