You can shock corals by changing them from a low light environment to a higher light environment.
IME when I get a coral or frag from a lower light tank and place it in mine, it will bleach (expell the zoox.), it will recover if I adjust the lighting by raising the bulbs farther from the tank, or place screen material between the surface and the bulbs to shade everything.
Another thing that can happen is if the corals recieve too much light in a wavelength that they cannot handle. EG. a recent bulb that was released had a large spike in the red spectrum (higher than an iwasaki apparently) and many corals were not used to this and bleached. Red is not a typical color that many deeper corals encounter, if they receive a ton of it in our tanks they have difficulty dealing with it.
Same goes with UV light. (Also same situation might be occuring with the mentioned bulb). Too much UV, can lead to either bleaching, and probably some tissue loss.
So even though we don't simulate natural levels of PAR very well in our reef tanks, we can make up by giving the corals light that is intense in certain wavelengths, if these wavelengths are wrong, it could lead to some problems (esp UV),
As far as how coral pigmentation relates to this, well, that is something I still don't understand, and it appears lots of research is still needed to be done on that.
It seems to me, blue pigmentations reflect useable light. Protective pigments are typically not visable to us.
Anyone feel free to correct anything that I said that is wrong...
Mike