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^This about all I know on the subject as well.Well, first regarding your fish, most likely it's either fat due to simply being well fed or it may have an internal blockage. The eggs in Labroides are generally quite small and don't really make the fish have an overly gravid appearance.
As for wrasses being captive bread in general, it's not exactly simple being pelagic spawners. As Larry linked above, the melanurus is the only species which has been done successfully with the intent. Bali Aquarich has also had cleaner wrasses spawn/settle/grow in their ponds, but that's not exactly the same thing for a fair comparison.
I know of a few other species of wrasses which are being worked on right now (nothing all that exciting - it's more of a learning how exercise). However, at a hobbyist level there isn't anything.