You are quite close, but as a hunting round, or defense from nasty 4 legged creatures in lower 48, IMO 45 Colt has the edge over 44 (either hotter 44 Special or milder 44 Magnum, talking about 250-265 grains at 1100 fps).
45 is tad bigger caliber, it could throw slightly heavier bullet at the same velocity and all that at the same pressure. Yes, recoil is also bit up, but still far easier on hands than full power 44 Magnum.
If our pistolero shoots a lot, and want to preserve his hands and arms for very old age, or arthritis is the issue, but he still wants something formidable,
41 Magnum is the answer, especially in Ruger Bisley. For casual shooting and defense from two legged predators, 180-220 grains at 1100 will do it. For hunting or 4 legged predators, 270 grains at 1100-1200 fps is all it's needed, see more here
https://www.thehighroad.org/index.php?threads/revolver-for-handgun-hunting-another-view.903836/ .
Just to make it clear, this is from the guy who, after lengthy search, just purchased a nice 6" Security Six, until recently had three 44 Magnum revolvers, 7.5" Redhawk (gone now) and two Bisley-s, one 5'5", another 7.5". But, as soon as I put my hand on stainless 45 Colt Bisley, and 7.5" 41 Magnum Bisley, 7.5" Bisley in 44 Magnum will be also gone. In other words, I cannot imagine how handgun shooter could be without, at least, one nice revolver in 357 Magnum and one in 44 Magnum.