Not true! Mine consistently refused.
I remember as a boy when we had this huge German Shepard. Everytime we moved to a new neighborhood we would introduce all the cats to our dog and he would leave those cats alone. So, we moved into our 2nd. street house in First Addition Oswego. We immediately started introducing our dog to all the cats around. There was this one neighbor with a huge Ferrel cat. We told them they'd better introduce their cat to our dog and they said no, no, no, don't worry about our cat he'll soon be chasing your dog. About a week later, their cat was dead.