A general statement like the one leave us wondering what the reason is behind the statement. I find it more helpful to think in terms of bullet weight, muzzle velocity and the sort of range one is talking about.
Maybe it's because I live in the prairies. Up close out here is 100 yds ( God you ought to try Bow hunting...exercise the patience for sure).
I shoot a 41 LC. I was just out doing some archery practice with the daughter and when our arms / shoulders were beginning to ache, took a break.
Loaded up some 41 LC.
4.5 grains Unique pushing a 195 grain hollow base pure lead bullet. Went down to my range and burned through 20rds at a piece of dry firewood about 1' across and 16 " high.
The range finder came in at 58 yds with a 4 degree downhill advantage.
Tough to hit it every shot but definitely not something you'd want someone banging away at you with, LOL. But they don't over-penetrate that's for certain.
I realize a 7.5 " bbl'd .44 would put out better accuracy and more power ( mine has a 4" bbl).
But from what I can see that's not something I want to shoot anything of substance with.
Maybe I'm wrong and the .44's are worlds more powerful and accurate. But I still don't see them as a humane weapon to hunt large animals with.
Sorry that's just the way I see it.
Cougar equalizer; better than a stick or knife, that's for sure.
Bear; I've already said I'm a prairie guy, for me to offer my opinion would be foolish. Better than pepper spray for sure.
IMO.