What is your recoil tolerance? What style stock will you be using? What type of hunting do you normally do? Answering those questions honestly will lead you to your ideal rifle weight.
My 375 H&H - don’t know the weight but carry it a lot more than I fire it. It’s not so heavy as to require continuous swapping of carrying shoulders and it’s not too light that the rifle under recoil belts the hell out of you. I’m small so carrying a heavy rifle is not on.
My Winchester carries a 1-4 Leupold scope.
If recoil is an issue go down to a lighter recoiling rifle. Accuracy is very important and I humbly suggest it’s better than heavier and bigger Bullets that hit in the general direction because the shooter is frightened of getting a whack.
Man!
Two great answers.
Years ago while learning from two magnificent gunsmiths who were old style formally trained in Germany before the war were not very sympathetic to full sized young men who wanted their gun lightened up.
I remember some of their conversations would give advice like, loose some weight, quit eating so much, go to the gym, have sex more often and you'd be strong enough to carry the rifle, and so on...
But! If you said that you were doing high mountain hunting for sheep and goats and the like they would build some very beautiful light weight rifles, just never in dg rounds.
I believe that if someone asked for a lightweight dg rifle to be built that they would have walked them to the front door and just pushed them out and locked the door and pulled the shade.
I asked them both why they wouldn't accept the work and heir answer was pretty much that they had no time for foolishness as they said that maybe one in a thousand men could handle it.
Anyway they lived long enough to see new rifles on the rack with pencil thin barrels and stock made out of frp and rifles so light that are a joy to carry and many just no fun to shoot.
If someone can take the pounding and still hit, then by all means, go light.