cats are super adaptable, you can amputate on leg without any problem for recovery. i had to make a choice a couple of years ago between cutting my kitties front leg or letting her die of cancer, and now she is super lively and jumpy. i had to give up my pocket money for the year before to convince my parents to let her live (the ghouls) but that was possibly the best use i made of my money in my life yet.
Animals don't have the necessary perspective to be grieve about losing a limb like people do. I've seen a dog wake up from anesthesia after an amputation, start to walk around and almost visibly go "Huh, that's weird, whatever."
Amazing dog, 100%
my cat tho was a bit shaken after losing her leg, she came home pretty limp, she had a big wrap around her torso, couldnt really move around, she barely ate and was in a pretty miserable state for a couple of weeks.