I'll disagree. First off at 5 meters (16' - 17') the average lux world wide is only about 19,000 (roughly 420 PAR)(1) and at one location referenced in "The Reef Aquarium" Vol III at 4 meters has PAR plateau at 800 PAR (2). Looking at Bali Aquarium, a mariculture business in Bali, they have stuff at depths as deep as 20 meters. Even some animals they are mariculturing at depths of 4 or 5 meters are in very turbid waters with visibility as low as 5 meters(3) which argues light levels not only easily attainable by the average aquarist but potentially significantly less than what display tank may have.
Secondly, it is tempting to think a coral can be feed a special diet to develop specific colors but the overriding control is genetics. The fluorescing and chromo proteins a coral produces are first dictated by it's genes and no nutritional supplement is going to produce proteins it can't code for. Further lighting conditions influences the fluorescing proteins as well so even if a nutritional supplement was identified that would enhance the production of a protein if the lighting conditions are not correct the protein may not fluoresce or the coral may not produce it. (4, See the articles by Dana Riddle) Below is an example of a bicolor Pink Birdsnest colony that has coloration influenced by lighting.
(1) Delbeek and Sprung "The Reef Aquarium" Vol I pg 13
(2) Delbeek and Sprung "The Reef Aquarium" Vol III pg 447
(3)
http://www.baliaquarium.net/categories/cultured-corals.html
(4) Dana Riddle Coral Coloration pts 1-7 starting here:
http://www.advancedaquarist.com/2006/9/aafeature and here:
http://www.advancedaquarist.com/2012/12/corals