Some good points being made here..........
I can only speak from my perspective on this subject, so take my opinions for what they're worth to you.
1. I'm cheap, I shoot cup and core bullets almost exclusively. My "premium" bullet tends to be the old tried and true Partition and I don't shoot many of them. No way on God's green earth I'm going to spring for Buffalo Bore, Nosler, Norma, or other such spendy ammo.
2. I'm a reloader, have been for forty years. Doesn't save me money, just lets me shoot three times as much for the same money.
Having established those facts:
I have owned one 9.3x62, a CZ 550 American. Great rifle, great round, a real thumper on elk. I'm sure it would be an excellent choice for an Alaskan or African rifle. First thing I did when I bought mine was go to Graf and Son's and load up on brass and bullets. I sold the rifle to a friend in the PacNW, he loves the rifle. Bullet weight adds a lot in the recoil dept. My CZ shooting 270 Speers at 2500 fps kicked a heck of a lot harder than my Whelen shooting 250s the same speed. Recoil is highly subjective, so I'll leave it at that.
I have owned three Whelens, all bolt guns. My current is a 35AI on a 1903A3 action, 24" medium weight barrel. Puts 225 Partitions into the same hole at 100 yards. 60 grains RE15 pushes them to 2825fps with zero pressure signs. I have cases that have been reloaded ten times, no signs of splits or separation. Leupy 2.5-8 B&C reticle gets me easily to 400 yards with lots of elk thwack left.
I buy rifles and cartridges that are "magical" to me. I love the Otto Bock story and the history of the 9.3 in South Africa and Rhodesia. I love the whole history of the Whelen too. Townie wandering off into the Canadian wilderness by himself in his early twenties, his history at Frankford arsenal, his relationship with Howe, his military service, his writing, and not to forget all those beautiful Sporters built by Sedgley et.al. The 35 Whelen is beyond a magical cartridge for me. Arguably THE classic All-American cartridge. How it compares ballistically to the 338 WM, or ANY other cartridge is meaningless. It is MY perfect elk rifle.
You can cite trajectories, and b.c's, and energy and velocities 'til the cows come home. What a sterile way to choose a rifle and cartridge that is going to be your companion on those few precious life moments when you're in the mountains doing what you love most. Pick the one that "pushes your buttons", they are both great cartridges. My only admonition would be that they are both effectively reloader's cartridges from a convenience and price standpoint.