I will be updating this thread in July and also adding some more information about differences in service within the *A Lounge. I'll see if there's any difference in the alcoholic/food offerings for LH F passengers, and even if there are differences during the LH departure times (as suggested by Eastbay1K ).
My recent visit to the LATAM lounge was a bit uninspiring, no salads/food (other than cold cuts and cheese).
The Centurion Lounge is less crowded now as it once was due to the Platinum-only restriction (free of charge), and the Centurion Room has upped their food game a little bit, although last time I visited they had ran out of hot food at 9.30pm .
My list: Cent Room > LATAM Lounge > Centurion Lounge > Star Alliance Lounge > AA/IB Lounge > AR Condor Lounge