Greg, it is not registered, I just checked the registry. He could probably still register it, especially if he remembers the parentage.
But important, yes and no. To the average gardener who just wants a pretty, no. To those of us who want to enter shows etc., yes. Or for those people like Jo who it drives crazy until she gets a name, yes. To me, I have both registered and unregistered and love them both, but never ever trade an un named iris without telling the person it's not named.