Graves , I hope I've answered your questions. Not really sure since I didn't see the quotes.
Regarding PO4 reduction from limewater dosing. Yes it seems that at higher levels some reduction would be observable because there would be more calcium carbonate around for binding but using limewater to reduce PO4 is not a good strategy, in my opinion, since its effects are ph dependent and likely to be minimal but whatever it does to reduce PO4 is a plus nonetheless.
Much of this discussion has centered on alkalinity. It's probably useful to review what it is.
It is not a thing. It is a measure of a number of things which have the ability to absorb H+protons.For seawater it is a measure of how much H+ can be absorbed before all of the carbonate and bicarbonate(CO3/HCO3) in the water can be converted to carbonic acid ( H2CO3).This would result in a ph of about 4.2.
Total alkalinity in sea water includes the following elements and their relative contributions to alkalinity:
"Chemical Species Relative Contribution To Alkalinity
HCO3- (bicarbonate) 89.8
CO3-- (carbonate) 6.7
B(OH)4- (borate) 2.9
SiO(OH)3- (silicate) 0.2
MgOH+ (magnesium monohydroxylate) 0.1
OH- (hydroxide) 0.1
HPO4-- and PO4--- (phosphate) 0.1
Other species can also contribute measurably to alkalinity in seawater in certain situations, such as anoxic regions. These would include NH4+ and HS- .
In reef tanks, some of these species can be present in substantially higher concentrations than in seawater. For example, a reef tank with a phosphate concentration of 0.5 ppm will have a higher contribution from phosphate (2.5 times the value shown in the table)." From the linked article by Randy Homes Farely:
http://www.advancedaquarist.com/issues/feb2002/chemistry.htm
Corals only use HCO3, CO3 is readily converted to HCO3 continuously. Together they make up about 90% of total alkalinity which is what we measure with test kits and use as a surrogate measure for bicarbonate(HCO3).
So where is the carbonate/bicarbonate in limewater( clacium hydroxide Ca(OH)2)? There isn't any. The hydroxide joins up with CO2 to form CO3(carbonate) and HCO3(bicarbonate) via a number of intermediate steps not worth going through here.
So, yes PO4 does contribute to alkalinity but the contribution is very small and of no use to calcareous organisms. Dropping it rapidly form very high levels may have some very small likely unmeasureable effect on total alkalinity. More importantly increased precipitation of calcium carbonate may occur uninhibited by PO4 . This increased precipitation of calcium carbonate as skeletal mass and/or abioitc precipitation will reduce the carbonate/bicarbonate and the total alkalinity to a greater extent than the PO4 precipitation itself or removal itself.