I've shot dozens of rifles over the years while working at a local sporting goods store. There is so much that plays into the perceived recoil it's hard to give you a definitive answer on a forum. Objectively, the cartridge that produces more energy will have more energy to be tamed. Rifle weight will help keep the felt recoil down. Then, subjectively, the stock material, design, etc. all play into the equation. One of the most unpleasant rifles in this category to shoot was a 30-06 Savage Axis with the synthetic stock and pre-installed scope. It was so light and the stock and buttpad design was poor IMO. A x-bolt in 300 WM was more comfortable to shoot, and not too much heavier!
Once you get into the 7mm Rem mag, 30-06, 300WSM/WM territory IMO it's a wash. Find a rifle that fits you well and is comfortable to shoot. The moose/elk/bear won't know the difference and neither will your shoulder. Especially when you're in a hunting scenario. I hunt with a 300WSM and when I shot my moose with 180gr Barnes I don't even remember feeling recoil and I'm 170lbs.
As an aside, for anyone who's recoil sensitive a decent rifle chambered in 7mm-08 is an absolute dream.