This is an old(ish) story that I just discovered. It seems such a strange thing to do - and the look on the cats face shows that it also isn't impressed.
Imaginary conversation with Bart and neighbour Wharton.
Wharton - Hi Bart, and what have you got planned for today?
Bart - I'm stuffing my dead cat and making it into a helicopter.
Wharton - Oh really? That's good. I've got an appointment with my psychiatrist this afternoon and I wondered if you would come along with me.