My gut feeling for bullheads is that in a pond with predators of any kind, recruitment is so low that you eventually acheive a bifraction of bullhead sizes; those being too big to be eaten, and those small juveniles who never really last.
So I think that the bullheads would only provide forage with young of the year that would only last for few days if that.
If a bullhead somehow got to 3", 5" or even 7", I think he'd be looking over his shoulder constantly while hearing the theme from Jaws over and over in his head.
