A few thoughts:
Some algae is oligortrophic( thrives in low nutreint water) even some green ones like bryopsis and ulva for example. Some algaes have rhizopores which embed in the rock and can be very difficult to remove and can pop back up from very small remaining fragments,'quite a few are single celled organisms and justr refgenerate.
Lowering nutreints can affect them all. Everything incuding coral needs some phosphate though ;so, the question is how far can you go with gfo etc without effecting the desireable organisms;0.02ppm seems low enough. Phytoplankton is limited at PO4 below .03ppm.
Appropriately sized UV may effect some spores if the algae you have produces them. It won't erradicate it but might slow it down. It will clear the water of planktonic algae. If you do use it let us know how it works .
PH is important and does not follow alk, calcium magenesium. It's very possible to have high values for all there of those and low pH. PH is driven by the CO2 in the water usually form the surounding air or bioical activity. It usually goes up duirng the day as photsyntetic oprganisms take it up and down at night as they stop taking it up and respire some excess.
At pH below 7.8 coral skelton and other calium carbonate in the tank, rock , sand etc can start to dissolve. As corals calcify they take up bicarboante ( HCO3) and process it to CO3 which is used in the skeletal matrix along wtih calcium and some other lements. When H + is at high levels in the water as it is at low pH it's harder to squeeze out the H from the bicarbonate.
Typically sea water runs around 8.2. Personally I keep mine at 8.15 to 8.35 dirunal swing.