I agree with this too. Unless we're allowed to choose to tame animals I do not want one. I would also act in the same manner as Fedda
In order to make sure the pet acctually dies we must kill it in sevreal ways:
Cut the pet with a swoord (poisoned sword off course), throw a fireball at it, throw it off a high mountain and make sure it hits a lake.
In this way we would get a real multikill;
the pet would die off bloodloss, poison, badly burns, high velocity impact, drowning and at last freeze to death. If a mudd-crap comes along and eat the remains this is just a bonus.
No pets for me in Skyrim.