Being on the firing line with guys shooting 357 sig at an indoor range for the day requires double ear protection and I get headaches afterward. Same range with 40 S&W I use only one set of hearing protection and I don't get headaches. There is a difference!
As for animals, fast handgun rounds like the 357 mag 140 barnes take down deer differently than a 45 colt with big slow keith bullet. Both work but in different ways.