Louis, I can't answer for David, of course, but I'll toss in my opinions and what I know from what I've done with this group. I would guess, if David's experience is similar to my own, that the last of the larvae dies on day 12 and that most of the mortality occurs before day 9. Evidently a few of larvae are able to obtain enough nourshment to "hang in there" for a few days after starvation decimates the majority of the spawn. Centropyge begin feeding after the organ systems and eyes complete development at about 3 to 4 days after the egg hatches. Cold water delays development and warm water speeds it up. There is enough nourishment remaining in the vestiges of theyolk sac and in the oil globule (the last of the egg's nourishment to be absorbed, (hmm.. it would be interesting to investigate the composition of the egg's oil globule and exactly what this adds to the development of the larval fish). The larvae are sustained (variablely) on the yolk sac for a few days after feeding should begin. However, the larvae are so small, and develop so quickly, that if feeding does not begin and/or is not adequate, they pass the point of no return within probalby a day or two. Without any food at all they do not live more than day 6, and even if enough food is injested to keep them alive for a few more days, growth and development is so compromised that survivial is extended for only a few more days, at best. From my experience with the larger Pomacantus angels, a strong well fed larve has grown extensively by day 12. A doomed larvae at day 12 looks much as it did at day 6. But still getting the larvae, even only a few, to day 12 is a strong indication that one is on the right track.
As you pointed out in your second message, there are many questions yet to be answered in culture of these small egged pelagic spawners. As to the microalgae vs vegetable juice culture of rotifers and cillates, I'm sure that a good culture of microalgae is superior to vegetable juice in the nutrition that is eventually delivered to the fish larvae. However the greater ease in maintaining cultures and the potential of enriching the cultures gives, in my opinion and experience, a place in home based culture work for vegetable juice based cultures. Where cost is not a problem, then some of the commercial microalgae preparations now available would be much better than vegatable based cultures. Also what is accepable to culture clownfish, gobies and dottybacks, may fall far short of what is necessary for angelfish.
Martin