My understanding was that the Circle was specifically the group that came with Louisoix to Eorzea, and that Moenbryda was left out for reasons, but I had enough emotional difficulty as it is re-watching the CT scenes the once, so I'll admit I haven't gone back through 2.5 again yet.
If that was supposed to make it hurt less, thank you for trying. (Didn't work, though I suspect I'll live.)