FWIW, I do not agree that all that was written there has been demonstrated, but some aspects of it may certainly happen.
One does not need to implicate limewater to have phosphate bind to live rock and sand. It will do that all on its own and can then come back off just as described, either as the pH changes or the phosphate concentration changes.
It has been postulated and even proven that the long-term use of Kalkwasser precipitates phosphates out of the water
One test by Craig Bingman. Never seen another. Probably true.
and that these phosphate based compounds settle on and in the live rock in the aquarium
I'm fairly confident that has never been shown.
Where would this occur and why? Can this, in fact, occur at all? The answer is yes in all cases demonstrated by empirical evidence that such micro algae outbreaks do occur (the reports by the hobbyists).
So, we are proving that it can happen, because algae grows? :lol:
There may be some nugget of truth in these statements, and it has been speculated about for many years. The zeovit people seem to avoid limewater for this reason.
But there is another, much more common and much clearer reason why algae grows when nutrients are low: the simple fact that lots of growing algae is able to suck up a lot of nutrients very quickly. Just like a lot of macroalgae in a refugium, a lot of growing microalgae will reduce nutrients quite well, but still be a mess of a problem.