CO2 is an inorganic form of carbon
I may definitely be getting something wrong or only 1/1000 right, but carbonic anhydrase is the difference between organic carbon and inorganic carbon (CO2 specifically). I think it may have been one of the very first enzymes.
All I'm saying is that I doubt it's correct to characterize the problem as a carbon deficiency, and the negative effects on the system's primary habitants (coral) seems worthy of greater consideration than it gets. Research I've done seems suggestive that high nutrient loads are to be avoided, rather than caused. Corals in such environments are more prone to bleaching, for example.
You may have already read this, but if not it would make a good supporting read...(still getting through it myself)
"Ratio of Energy and Nutrient Fluxes Regulates Symbiosis between Zooxanthellae and Corals"
https://scholarspace.manoa.hawaii.edu/handle/10125/2241
A quick couple of quotes:
(LL = low light ; HL = high light)
...although LL colonies acquire carbon and nitrogen at the C : N ratio of 9.97, HL colonies acquire them at a 30.15 ratio...
[...]We suggest that, unlike LL colonies, HL corals do not hunt zooplankton for their car- bon but rather for their nitrogen[...]
And a great factoid..not directly related to our conversation, but tasty!
It has been found that the zooxanthellae photoacclimate within a week to a new irradiance level and that the host also responds to this change.
Obviously, there are more details...