Assuming there is no correlation between "game" in the pit and the dog's abilities to perform outside of the pit, unless you are planning to fight the dog, who cares about game? To me it's like bragging about how you dog comes from a line of great racers yet all you and your dog does is lay around the house. I guess I don't see the benefit of calling a dog game or game breed. The whole thing seems like an ego trip to me.