I disagree. There is not a single coral that receives all of its energy from Zooxanthellae, every polyp has a mouth and is searching for food constantly. They feed all the time regardless of your feeding schedule or if you directly feed them.
While the lights we use are great and provide a lot and they get quite a bit from catching other foods in the water column, corals will usually do better when fed some form of supplemental food. There is a lot of research into herbivory in corals, a good mix of phytoplankton species will feed almost everything in your system. Along with phytoplankton there are a broad range of small particle powdered foods that will work with most corals. Other than that things like frozen rotifers, copepods, brine shrimp nauplii are great smaller foods for most corals. For bigger corals mysis shrimp, enriched brine, pacific krill and pellet foods work well. Feeding a couple to a few times per week is a good schedule.