Comparing two different rifles and talking about stock fit to ignore physics doesn't make much sense. Ultimately, because the intelligent answer to a strawman like that is nothing more than a tautology...

Chambered in the same rifle model, with the same stock fit, the cartridge with the lesser recoil will have the lesser recoil.

Using less powder to achieve the same velocity with the same bullet in the same rifle weight and otherwise same stock fit will produce less recoil. It's REALLY that simple. We're throwing less mass out of the front, so we have less recoil out of the back. That's what we achieved when we created the 7-08rem, the 308win, the 9mm Luger, 45acp, 260 rem, etc etc... We had higher capacity, higher powder charge, larger cartridges on the market operating at lower pressures, which we then matched with a smaller cartridge at higher pressure with a daintier appetite. Now we're doing it again with the 80kpsi max pressure standard. Same stuff we've been doing for 150 years...