Named corals are all about the lineage. There are about 500 million zoanthids that people call "Fire and Ice", but they all look different. The original "Fire and Ice" zoanthids came from Atlantis I believe. You can call them whatever you want, but I wouldn't try to sell them with a name on them (simply because what looks like a named expensive coral from a photograph might be completely different than the real thing in someone's tank.)
Another example is the Superman Montipora. The original *real thing* has almost a bright baby blue base with bright red polyps, whereas some "Superman Montipora" corals that are *knock-offs* have a dull blue base with brownish red polyps. People label the fake ones as the real ones, and charge just as much just because they're similar. Named corals (whether you like the practice or not) is a way to prove aquacultured lineage and assure the buyer that the coral will live and keep its color (and also keep its price very high.)
Anyway, sorry for the long windedness...I don't know what to call those, but I have the same thing. Nice coral.