From my experience I've found Sunburst Anthias to hide more than free swim like many other anthias. So based on that I believe they should do fine if introduced together. But I'm sure the more you add the better for everyone
My fathead swims all over doesn't hide at all. I love it it's beautiful. Someone gave it to me already eating but I've heard they can be difficult to do so. Not sure if they get along but anthias can be a holes.
I bought a sunburst Anthias 5 days ago and he hasn't accepted any food yet, I tried everything under the sun.Dipped in everything too. Be ready for a challenge unless you find one that accepting food. Good luck.
Lyretail, dispar, ignitus these guys are hardy and fun to watch. I got 3 from chad a month or so ago and 1 of em has started the male transition. You would add these guys 1st before bartletts or evanski. Stay away from purple queen. Don't get suckered into their beauty. They are on of the most difficult and shyest fish ever. It took me almost a month to get mine to come out of hiding and eating only after introduced the ignitus.