LOL I was just being funny. I'm 240+ down from a 270 power lifter. I have owned & shot everything up to 470 Nitro & still have up to 450 Watts & have most of the big guns you can name.
The straighter the case, like a 375H&H it's a push, like said above, the more overbore the sharper the recoil. So, given the same bullet wt & speed the 35 would "kick" less than the 338. A really good example is comparing any of my 4 .375 H&Hs to my 375/338. Both shooting the same bullet at the same speed & the difference between the "push" of the H&Hs & "kick" of the 375/338 is very evident.
But I will admit that the closer I get to that big 70, the less I'm inclined to sit at a bench & run 20-30 rounds thru one of my thumpers + I will admit to a few with muzzle breaks. There are also tricks for shooting boomers from the bench. I have an adjusting seat on my benches where I can lower it so I can sit straight up (I also use higher rests). That way you are more like when you shoot standing. It lets the recoil push you backwards without leaning into the rifle on the bench. That is where you get hammered, leaning into it.
I learned that the hard way back in the 70s with my first .460 Wby. Back then they were unported & I being the "stud"(meaning dumb), I figured I could just shoot it like anything else. Wrong! After 6 rounds, I was seeing black with bright stars. Actually got a concussion. Learned right there, shoot those things from the bench straight up without leaning in, just snug to the shoulder.
I don't think either will be very bad to shoot. I'm more concerned about the skinny brl.
If you get a chance to check out the Ruger American, it looks like it could be a very nice light weight mountain rifle. (if it shoots).
I also like lightweight hunting guns & even have a 6# .338 winmag.