Well I'll be honest I have 2 lyretails and a dispar in my 40 breeder, for a bit more than a year now. But, the tank is basically their's... 2 clowns stay in their corner, yellow watchman that stays by his cave and never moves, a clingfish that clings to the glass, and a tailspot and a hectors goby which do their own thing. The anthias are the only fish swimming around and using the space.
So yes I think it can work, but depends on your existing fish, and also need a lot of rockwork, the anthias like the rocks.