If you can stuff a deers head or a fish why not a cat?
But then a good many places don't eat horses or dogs, yet some do.
Two halves to that...
I'm not really a big fan of taxidermy of any form, not even the sweet little old lady getting her beloved pet stuffed after it dies, but somehow it seems worse when the pose is amusing. Personal emotional response, nothing more, there's nothing actually wrong with it.
And I don't personally have any problem with people
eating any food of their choice, including animals used as pets, as long as the rearing and killing is done humanely and they're staying away from rare exotics.