I don't have a full fledged Abyssea ls so I've done a lot of pickup runs. The ls I do have does random runs but it's more off the cuff rather than scheduled. I could be wrong. I just joined Sunday. Though on Sunday I joined went with a goup that did 5 runs (and then joined their ls), and then I did another 2 runs on Monday. I already had La Theine before Sunday.
If you did the math, that's 8 of the 9 zones I have wins for. I wouldn't mind getting the atma for this boss too, but as long as I can get the win I'll be happy.