There are thousands of species of marine algae ; protists/dinoflagelltes like zooxanthelae encopmass over 1500 idientified species alone. They all grow in natural sunlight as do cyanobacteria; they also grow under leds, power compacts, t5's, t 12's,, metal halide form 6K to 20K , ordinary daylight spiral fluorescent lights etc.
Generally, spectral shifts play a relatively insignificant role in selectively growing one or the other relative to nutrient control ,ime.
While all algae require nutrients , some algae are more or less limited by lower levels of nutrients, particularly inorganic phosphate. Green algae for example is usually limited ( ie can't grow) at levels of PO4 under 0.03ppm while red algae( rhodophyta) ,brown algae don't seem to care about PO4 levels in the water. Bryopsis does better with low PO4 than hair algae as an example of variation in limiting effects even within the green species.
Since we've moved the discussion (originally on water changes ) back to natural reefs;it's worth noting natural reefs are exposed to enormous amounts of water volume flowing through over and around them. A cubic meter of space( which holds about 210 gallons of water) on the Great Barrier Reef has approximately 1 million gallons of water flow through it daily.
Many of the corals there are exposed to intense sunlight in very shallow depths and often left high and dry for periods of time when tides drop.
Shifting context back and forth from natural reefs to the minute droplets packed with life in a small amount of water in a teeny tiny closed system just doesn't wash as a useful comparison most of the time.