With a bullet of the same sectional density, construction and velocity, while one would loose a few foot pounds of energy, I don't think there would be any discernible difference between game shot with a .41 and the same animal shot in the same spot with a .44.
The Sierra 170/.41 and 180/.429 have the same construction and SD of .14
A 210/.41 is the same as a 225/.429 at .17.
On the other end a LBT hardcast 285/.41 has the same .24 SD as a 310 grain .429.
A mid-frame .41 Special would be a great...a .41 Magnum...not so much. I have three Taurus Trackers, 4" Ti, 6" Ti and a 4" stainless, and you would not want to shoot them with factory Remington 210 SPs... They make a GREAT .41 Special however. Depending on the bullet weight they are fun to shoot up to about 1150 fps...after that they become unfun rapidly... It's like shooting full factory 158s in a S&W Model 19 vs. a Model 27.... A S&W 69 in .41 Magnum would be interesting...but full loads in it would be about as unpleasant as full .44 Magnum loads are now.
The .41 does everything I need it to do...you however may have other needs...
Bob
My wife shoots a 357mag 4 inch tracker and I've shot it with heavy buffalo bore loads. I've also shot a 44c, which is basically a tracker 44 mag snubby, with 300 gr heavy bear loads.
Neither us that bad with recoil