I'm glad to see TBS re-reconnected to the BA network and further connected to the oneworld network.
I was there a couple of weeks ago and enjoyed it very much, lovely city.
Quite true that most of the European airlines have these awful middle of the night / super early AM arrivals and then early morning turnarounds. 3:40am, 4:45am, 5:30a arrivals into TBS are ugly, but common.
I flew LHR-TBS via DUS on EW because it got in at a normal hour (around 18:00).