Good for you! A lot of people might not have even thought anything of it or seen the need to destroy the bodies. Also good on you for putting suffering animals out of their trouble. Human suffering is different, humans are different: but there is absolutely nothing even possibly redemptive about animal suffering. It's just sad. Best to make it stop if you can.
I had to put my cat down the other day…he was terrified of the vet, I took him out to a quiet place, gave him some of his favourite wet cat food to munch on, and shot him in the back of the head while he was eating. He had been suddenly losing weight, losing fur in big clumps, acting miserable all day every day, and had what appeared to be some kind of tumour on his face. He was 3. It was the right thing to do.
Someone i know who is an animal lover (but the anti-hunter anti-farmer type who would subject some poor old suffering critter to surgeries and other interventions out of the misguided idea that it's always cruel to kill something) found out that I had taken care of this myself asked me in horror
"How do you sleep at night?"
More than a little annoyed and still personally sad about having had to do what needed doing, i dryly replied
"With my eyes closed."