I’m not sure where you’re getting your information, but any basic search of corals browning out will give results indicating that elevated nutrients leads to browning coral. Here is one of the first citations that pop up on Google:
https://saltwateraquariumadvice.com/2017/02/make-corals-more-colorful/
The article in question makes many generalizations that aren't very accurate. Zooxanthellae densities for corals in low nitrate/high phosphate conditions is nearly identical to those under high nitrate/high phosphate replete conditions.
Furthermore, most every other major biomarker is very close when comparing normal nutrient levels to those of corals under high phosphate conditions:
In this study, what they found was that zoox densities under high phosphate conditions are able to maintain chemically balanced while and normal functional photosynthesis. So while sure, there are slightly less densities when your N/P is heavily skewed towards phosphate enrichment, the impact is minimal.
The response I made was to point out that light intensity should be the first place to check, not phosphate levels. As light intensity is the more likely suspect. This is supported by another NCBI article:
"The caramel brown colour of corals, in the absence of strong host pigments, epilithic algae and colour in the skeleton, is a product of both the density of the symbiotic dinoflagellates (family
Symbiodiniaceae, LaJeunesse,
et al.
28) and concentration of their primary photosynthetic and accessory pigments. The majority of the pigments are associated with the peridinin-chlorophyll
a-protein (PCP) complex
29,
30 including chlorophyll
a (with absorption greatest at 435–440 nm and 670–680 nm), chlorophyll
c2 (450–460 nm) and the carotenoid, peridinin (478–500 nm)
31. For all species the deep brown pigmentation was caused by high pigment concentration per algal cell and for
A. millepora,
P. damicornis and
Porites lobata/lutea by higher symbiont density. The higher algal pigment concentration is consistent with the photoacclimatory responses described previously for dinoflagellates
29,
32,
33 and in symbiotic dinoflagellates in symbiosis with corals, is considered to be a mechanism to increase light absorptivity under progressive light limitation34–
39."
Sources:
Responses of Corals to Chronic Turbidity
Phosphate deficiency promotes coral bleaching and is reflected by the ultrastructure of symbiotic dinoflagellates