Hi,
I have no clear idea or convincing explaination but I will share an observation.
With PO4 over 0.1 and nitrates in the 20ppm range , I ran 13 dkh routinely with no issues.
After carbon dosing for months these nutrients settled at

O4,.05ppm and nitrate at <0.5ppm; not super low but lower than before. At these levels which were gradually achieved over a period of months burnt tips occurred in several specimens with alk over 11 dkh. Most have since healed at lower alk,9.5.
I don't think the corals are starving since the system receives a good deal of food and houses many fish and nitrate is present.
Perhaps the reduction in PO4 triggers more biotic precipitation and imbalances the process somehow . Or maybe the extra organic carbon imbalances the coral's bacteria in some way making it more difficult for the coral to keep up with higher precipitation rates. Or something else entirely ?
FWIW It has all worked great( healthy sps, good growth and a variety of other corals) at 9.5 dkh and the noted PO4 and NO3 levels for the last year.