Slightly OT - Thanks for the correction. What does Anthiinae refer to then?
anthias are members of the family Serranidae (basses, basslets, groupers) and make up the subfamily Anthiinae. Seven genera of anthias are known to occur in coral reef ecosystems: Holanthias, Luzonichthys, Nemanthias, Plectranthias, Pseudanthias, Rabaulichthys and Serranocirrhitus. (Copied and pasted from your link

)
Since the Anthiinae are a subfamily of the Serranidae, referring to any one species as such is not correct (ie: Bartlett's Anthiinae)
I don't know if you've seen the book that I'm referring to but you really should check it out. 'Reef Fishes Vol. One ' is a must have for everybody's library IMO.
Anthias are often mis-identified all along the collection/supply chain. The good news is that most species will get along with one another.
If I were to go about adding Bartlett's Anthias to my aquarium I would ask a LFS that I have good connections with to watch for them on their lists and order them for me.
If you wait to walk into a store and see a harem of healthy acclimated Bartlett's your chances are slim. It's not uncommon to walk into a LFS and see an Anthias or two for sale but finding a small harem of healthy Bartlett's for sale is extremely unlikely.
This is one of the unusual cases where you might consider ordering from a reputable online source such as Foster/Smith (JMO IME) although (in my particular case) I would have MO order them for me.