I'm not exactly sure how that disproves my opinion, Matt? I can easily say the same thing about feeding a varied diet.
I have personally watched fish develop health issues (specifically related to excess fat storage and liver failure) related to feeding "varied" diets.
There, I just said it.
It all depends on the fish (species, as well as specific growth stage of species) the food being fed, and how that food is being delivered. You can keep chanting the same mantra for as long as you like, but unless you can show me some peer reviewed studies that disprove my statement then this discussion becomes a moot point. There are people who can feed the exact same diet to the exact same species, and end up with the exact opposite in overall health results. That may, or may not have anything to do with the diet itself, but the amount being fed on a daily/weekly basis. Excessive fat deposition in and around the organs is often related to how much is being fed, just as much (or possibly more so) than what is being fed. It's not as though a fish can't become obese from eating healthy foods, in that sense calories are calories, and just like in humans the excess calories have to go some where. Some people just can't properly measure an adequate amount of feed to give to a fish in captivity, especially with some of the more nutrient dense feeds currently on the market. I see the same thing in dogs all the time.