Don't mean to change the subject, but...
I've never heard that definition of "game fish" . I always thought a game fish was one that gave an extraordinarily good fight for its size when hooked. Spectacular leaps and endurance also figure in. Edibility is not an issue, tarpon and bonefish are terrific fighters but too bony for the table. Sharks, pound-for-pound, tire easily and are considered easier to catch than other fish of the same size or weight. They are not game fish.
Of course, the "sporting" aspect is being able to catch as big a fish as possible on the lightest tackle.