I'd agree. I 44 is a wonderful forest and brush caliber for any deer and I also have used it to kill antelope, elk, black bear and buffalo. The idea that you need "more" is not founded on any reality. I have never used a 44 rifles but I have killed 19 head of game with revolvers in 44 magnum. My friend Joe has killed moose with his and many of my old customers have killed African game with the bullets I used to make, up to and including elephant, hippo and Cape buffalo.
Using the LBT 187 Grain bullets I used to make, in a 357 magnum revolvers I have now killed 7 deer and antelope, and my friends Randy and Cas have used their 357 mag Marlin carbines to kill over 30 head of game. About 20 antelope and about 10 mule deer.
The 357 magnum with the 180 to 190 grain cast bullets from an 18" barrel, loaded with a top charge of WW296 shoots at about 1875 FPS. A Factory 170 30-30 Remington load advertises higher speeds, but my chronograph says they actually come from our M94 Winchester's 20" barrel at 1945 FPS.
So the 357 is 70 FPS slower, but is 17 grains heavier. So the idea that a 357 is lacking as a deer gun is also not bases on any reality. One or Randy's antelope was killed with one shot at 294 yards lasered, and another at 285 yards, also lasered.