"It was hard on him. His hunting dog wouldn't even come in the house if he were there."
May be hard on you guys imaginary buddy, but just to be clear, hunting dogs are not pets, they are not allowed in the house.
Now my beagle will hunt, given the chance. All beagles are born with a rabbit silhouette imprinted in their brain and most with a wise innate fear of bears but willingness to chase a rabbit does not make them a conditioned hunting dog.