Should be fine.
Hi.
We've kept that combination, although a few years back. Our dragon wrasse was awesome and there was never a problem with the eel.
After a period of time in which the wrasse was perfectly fine with a panther grouper, the grouper suddenly turned on him one day... made the dragon wrasse hide up near an overflow outpipe. They were fine for at least a year together... and the dragon wrasse never bothered the following fish:
Clown trigger
Picasso trigger
Longhorn Cowfish
Yellow tang
Panther Grouper
Now, put in a few guppies and you've got war.

Or live brine - same thing. I think it was bad that we "introduced" live food into the tank after all the fish were eating Formula just fine.
Our experience is that the dragon wrasse was not aggressive in the tank with the above fish. That can all change quickly, though, if there's a sick or injured fish. Also, in our experience, the dragon wrasse was an extremely slow grower. The panther grouper was getting
much bigger and perhaps that led to the sudden aggression. As stated, the dragon wrasses are big time rock movers. You'll be amazed at the size of rock they can pick up and move. We had ours in a crushed coral substrate - not good. Sand would have been preferable, because although the wrasse will dig into CC, it has to be harder on its eyes than a DSB. Which reminds me... they have real cool eyes. A real "fish" treat in that they move independant of one another. They can "disappear" for a few days, sometimes. An absolutely good idea is to have large lace/bowl rock on the bottom of any rock formation you have, to prevent a major "cave in" due to the constant ground reconstruction the dragon wrasse is always doing.
I'm racking my brain trying to remember more specifics - it's been quite some time since we had ours. Definitely not "reef safe" as you're probably well aware of.

These can get real big, but like I say, ours didn't even grow an inch a year.

And we even did water changes on the particular tank he was in, so there was no buildup of any growth hormones in the water.
Well, good luck and enjoy, if you get one!
