I agree with Randys comments above and also the authors do that - se their comments in my last quote in this post. I have been working with this post for 6 hours and therefore Randy was faster
The article shows that the coral animal can survive and grow very well in nutrition concentration of around 0.75 mg/L NO3 and 0.285 mg/L of PO4 compared with the control that has what aquarists think is normal in the wild.
It is not dealing with higher values - but this does not mean that higher values give the same, better or worse growth - it just say that during this condition all tested corals growth better than control (0.043 and 0.012 mg/L NO3/PO4)
This quote is from the same article and they have not demonstrate that low inorganic nutrients can indeed limit algae while not affecting corals - however they state this in the discussion part of the article. You have the example in your own aquarium - you boasted that your sun corals were thriving and their growth rate is exactly what you get if you don't give your photosynthetic corals light and nutrition. I can even imagine that you get worse growth in your photosynthetic corals if you force them to be completely heterotrophic because the food they capture has to go to both the coral animal and the symbiont's survival and growth. IMO - If you only uses the two outer endpoints (heterotrophic or autotrophic growth only) in corals that have zooxanthellae. - you get the best growth in pure autotrophic conditions.
The article did not do an experiment with the combination of heterotrophic and autotrophic conditions in the lab- as it is in nature.
However - they did a study in the wild. The NO3 concentrations was up to over 1 mg/L and phosphate around the figures for the long time lab experiments ~0.28 mg/L PO4. Excuse the long quote with my bold. Main source
here
This means if you compare a mixed feeding in systems with low nutrient concentrations and mixed feedings in system with high nutrient concentration - this study indicates that growth is at least twice as great when the water contains elevated inorganic concentrations of nutrients in addition to particulate food in nature
Instead of cherry picking quotes that seems to fit into your agenda - try to read the whole article and especially
this part
There you can read things like this - as usually - my bold
But here is a very interesting thing
I dug up this article - and I will comeback later on because there are findings in it that may rock the fundings of the necessary to feed your acropora - with one exception
Sincerely Lasse