The .348 is by far the more useful round for the hunter. The Browning M71s are better guns too. A rear peep sight is recommended.
How so? The 444 Marlin zeroed at 125-135 yards with any FP killer load in 225gr-335gr is easily a 200 yard cartridge on large game. I doubt the 348 Win, in reality, will handle big game any better at 200 yards. It’s not like the 348 Win shoots any flatter or hits any harder at 200 yards and it’s not like the 348 Win is readily or effectively used past 200 yards either. Only one man’s opinion and user of the 444 Marlin.
