I will put my two cents in on this one. IMHO since I have used both products with my CC and CNBG, the best bang for the buck is the Aquamax. My reason is this simple the fish I have liked both products, in short.
If you look at the ingredients you will find there is a difference in the two products. Aquamax has a higher concentration of Fish meal(higher on the ingredient list) and that, as best I understand, converts to higher fish weight per oz. of feed a particular fish eats.
I think is the Game Fish Chow, although a good product and I would use it if I did not use Aquamax,uses the fish attractant to entice the fish to eat it better than most more common fish feed. Nothing wrong with that and helps some on the residual bio load in one's pond compared to most everyday fish feed that may not be eaten quite as well.
All that said, I would say any fish feed is better than none within reason. Generally,I understand CC process grain based fish feed better than CNBG and some other species of fish and therefore the Game Fish may be the product for you. If Big CNBG happens to be a goal then I would recommend the AQUAMAX.
One other item I read that really sold me on the Aquamax is fish life cycle. As an example the CNBG, IN general, may live past a four year life span and most here know they will, but the first 4 years or so are kinda the best and fastest years for growth as best I read. So again, in my mind and IMHO you get the best opportunity, all water and weather conditions about the same year over year, and the best utilization of feed and fish growth the fist four years or so with the CNBG. CC are somewhat different and live longer. I can attest that CC as well grow very well on AQUAMAX.
If you are growing other species than what I am working with the fish may be better and faster growing on something else IMHO.
Bob Lusk, most likely, has the best knowledge of the feed and would throw in on this subject if you told him the type of fish you are raising. He helped me.
You can search the archives on fish feed and find a lot of info,if you have the time.
Several of our non novice advisers on PB may give us more enlightenment on this subject as well.
Good luck and let us know how it goes for you.