I killed a lot of big game in the late 60's and through the 70's with a Herter's 401 Power Mag (esentially the same as a 41 MAG). Lots of wild boar and a few blacktail along the coastal ranges of CA, plus a few mule deer and couple of elk in the Rocky Mountian states before I stopped hunting with the revolver. It never let me down on any of them. One of those firearms that I regret that I sold. I used 2400 for my handloads in it. Had a Contender 10" 41 MAG barrel too but never got up enough interest to get around to shooting it before I resold it. The 357MAX I had I used for medium game (predators) and it was fine for them, but I never shot any mule deer with it. Can't remember for sure now but I probably used 2400 or H110 in it.
Probably comes down to personal choice when either would work, like the 401PM was my choice. I had a couple of Smith Model 29's and a Ruger Blackhawk in 44MAG at the time too, but seemed to always grab the Herter's when going hunting. I just plain liked the revolver better than my Smith's or the Ruger Flattop, and really didn't need the extra oomph of the 44 for any of them.
Tweedle Dum vs Tweedle Dee....