The ole nine three is a cartridge that should be exempt from over thinking, ballistic one upsmanship and hypothetical thinking out loud.
There is no real world reduction in recoil over a 338 mag. Mild loads like a standard 286 grainer at 2300-2350 are enjoyable to target practice with.
My full power 300 grain/2400 fps loads from a 7 lb 4 oz rifle recoil severely. 10-20 rounds and I'm done.
Regarding round count: If you hunt treeless areas at below zero weather with five caribou a day bag limits, I say nay to a three down gun. 30 mph winds, heavy winter clothing, longish shots, you will miss. Pulling up on a herd, 3 caribou for 5 bullets was my best.
Regarding longer shots. I rarely shoot too far. But here are three animals taken at longish shots. The ole nine-three, with big flat based bullets was not a handicap:
Bull caribou 350 yds open sights Cow caribou 400 yds 1.5-5 power scope Bull moose 500 yds 1.5-5 power scope