In more detail, I do not consider it a great wrong to kill a cat. It isn't something that I think you should do every day, but I regard killing a cat as far less serious than, say, killing a fully functional person.
In particular in this case I'd consider the act justified by the amount of pain and suffering that I'd avoid in people who care about me. (It may be that I'm seriously overestimating how much they care about me and they would suffer no grief at my prolonged lingering. But my belief is that they would and my wishes are based on that belief.)
Would you want my wishes respected yet? How many variations on the same question do you need me to answer before you'll give me a final answer on this?
Still wondering,
Ben