"Leave the dog alone" is heard in my house a lot! They like to go up to him and sniff him when he's trying to relax, which has resulted in a growl-snap, but no contact. Like Susan said, if he/she wanted the cat, they'd have the cat.
The flip side is, if one of the cats is in his bed, he won't step on them to get them to move, I have to move them!