I think there is something to this, Pomacanthus angels are also one of those genus that seems to hybridize more commonly than many others.
Actually the most common hybrids are between Holacanthus rather then Pomacantus.
There is a combination of reasons that juvenile angels are colored so similarly to each other, and so differently from the adults. Angels are very territorial, if the juv's were the same as the adults they would probably not survive on the reef because the adults would chase them out of their territories. This would not only push them to areas where the habitat isn't the best, which for a young fish would mean less and lower quality food, poor hiding places, and higher incidence of predators. As a different color pattern the adults will usually tolerate a young fish in the same area and it gives the young a chance to establish it's own territory and grow up.
As far as why they are so similar to each other here are some of the reasons I think are the best answers to your question:
They are all related and as mentioned maybe even a single common ancestor, so the patterns are going to be close. If you look at different genera, the color pattern and combination of color and patterns is different from each genus but similar within the genus.
Many are cleaners which affords them some protection, the color pattern is repeated in many cleaning fish, black and blue or white is found on cleaner wrasses and neon gobies just to name a few. Here in the Atlantic there is are several yellow and black cleaner gobies and the baby french, grey and rock beauty all have that same color pattern.
They also mimic the color pattern of cleaners even if they don't actually clean themselves, not all juvenile angels will pick parasites but kpredators are so used to not eating fish with cleaning colors that they don't even try.
The color pattern is very easily lost on the reef. Both the brightness and stripes (think of zebra on land) tend to confuse the predators and with all of the holes and tunnels in the reef rock, just a fraction of a second may mean the difference between getting away and being eaten.