Yes. I would think so. By the way, I'd like to amplify a little on the question of GG offspring and how many is too many....
If you don't mind catching 5 inch fish and only occasionally catching the larger 10 inchers, I'd guess the HSB in the situation you describe will work just fine. Myself, I have no interest or desire to catch 5 inch fish of any type on a regular basis and hence my tolerance for them is probably more stringent than some. If you like the small fish, I think you will be successful with the HSB. If you really want to grow out some big BG, then you want to minimize (zero), the number of surviving small fish...no matter what type of BG they are.