Reading about the myths... well... the WW Circe isn't a whole lot like the original. Yeah, there's similarities. For a start, the DC version "loosely" treats the story of the mythical character as backstory. But, it leaves it as back story. Those are all things that happened like... 3000 years ago or something and don't really come up in the present.
Which is a bit odd since the old stories talked about how she had a family living on Aeaea with her. She was an exiled princess, and lived like a queen... with proper subjects, and heirs. Yeah the various myths listed 3 of her children... and they weren't helpless babies either; more like henchmen.
which is a big difference, Aeaea was a small kingdom, but a proper kingdom, and not just a single megalomaniac with minions who are forced to serve her.