Yes, Weight is important, Too much for the recoil produced, and carrying the thing afield is drudgery.
Too light for the recoil produced, and confidence and consequently accuracy Suffer.
Witness the comments ref 300 mags, great killing power and reach, but not usually heavy enough to attenuate that sharp impulse. I never found 338s all that brutal, but I’m mostly using much lighter caliber ( 280, 280 Improved )
In between those xtremes are a bunch of nuances. Trigger weight, let off, Pistol grip, fore end shape,
Butt angle, width, pad etc. Etc . Optics, Cheek alignment
All elements are important , producing a synergistic whole for the intended purpose
Reminds me of discussions about shotguns for Grouse hunting in the bush vs pheasant or sharp tails out on the prairies. Skeet vs Trap
