Ours eats a bit of both, but if she doesn't have her kitty crack (kibble) she gets insane about getting into people food. She just has to have her carbs.
She will do just about anything, including moose if it's offered, and bones too.
But her all time FAVE treat is a frozen/thawed mouse from the pet store. Not sure how she knows when I've gotten one for her before I even get my shoes off but she gets quite vocal and almost attacks me to get her meal (which goes into a crate with her to eat, since mice need to be tossed quite a bit before being eaten).