IME/IMO it almost exclusively involves the species of fish at hand. Nigers are pretty well know for their slower growth rates, to spite actually being one of the larger triggers when full size. Clown triggers, are pretty well know for growing very quickly.
You can find the same even in the same genus. Almost all species of Naso tangs, Lopezi, Vlamingii, Unicorns, etc, for pretty well know for their monster growth rates of several inches a year. Yet one of the species in the genus, the common name Naso (Lipstick) tang, has a relatively slow growth rate, with most people's just averaging around an inch a year.
I don't think nutrition would play that much a role, because we all feed differently. Granted, most of the stuff we feed is the same, the percentages are significantly different from person to person. I don't think many people feed scallops as commonly as myself, and I'm sure there are a lot of people who feed brine more then myself. Just an example, but the point remains clown trigger owners probably their fish vastly different diets, but they all grow very quickly.
One example would be my Florida West Coast tank. About 10 filefish, 2 Southern Puffers, 1 Burrfish. All were collected smaller then 1cm. All were housed in the same tank, so they were feed the same diet, mysis and cyclopeeze mostly. Yet the 3 puffers outpaced the filefish in growth rate. The two Southern Puffers were the hogs of the tank, but the shy Burrfish easily outgrew the Southerns, to spite having much less to eat then even the filefish.