It's difficult to make an "apples to apples" comparison in rounds that use projectiles of different weight, but TO ME, the .41 mag always seemed to have a "sharper" sort of recoil than the .44 mag. The difference was never unpleasant, just "different". It always seemed SLIGHTLY sharper than the .44, and MUCH sharper than magnum-level .45 Colt rounds. I know that 210 gr. at 950 f/s or 1350 f/s SHOULD feel the same, no matter what caliber it's in, but it seems I can always feel the "sharpness" of the .41 mag. As I said, it's never bothersome for me, just distinctive.
Various of my shooting associates who use a .41 for their magnum revolver not only like it, but seem to defend it fiercely when it is compared to the .44 or .45 Colt +P+ "infinity". Among other things, I am told that in hunting situations, the .41's projectiles tend to drive more deeply than the .44's (which makes sense, in terms of decreased bore frontal area) which goes toward delivering "through and through" wounds, when desirable. I guess that, if someone was to go hunting jack rabbits with a .460 Weatherby, once in a while, the ventilated beastie will end up running, instead of doing the "DRT" thing. I'd wager that through and through wounds make tracking a less complicated matter.
I have NOT observed that the .41 magnum is easier to master than the .44 Magnum, but I could be missing something. The old Remington factory mid-range load was something like 210 gr. LSWC at 950 f/s, which kicks substantially more than a .44 Mag loaded with specials. Stoking the .44 with the Skelton-Keith load turns things around again, but I've never seen such a load offered in factory trim.
I DO believe that, if a game animal does not fall cleanly to a .41 Mag, then shooting it with a .44 Mag (OR a .45 Colt +P infinity) would likely have given the same result. If the better penetration of hunting bullets is really "a thing", this may be why.
I LIKE the round, but I've gone the route of .45 ACP & .45 Colt (and sometimes, .45 Colt +P+ "infinity"), in the interest of simplifying supply and logistics issues. I would end up finding the (undeserved) "odd ball" nature of the .41 Magnum irritating.