I pretty much agree with this. However, I think one should be careful about seeing any of the Greek gods as either strictly antagonist or sympathetic with Diana. They are more representing forces or emotions than moral values. And as Manakel pointed out, nearly everyone of them is vindictive and easy to offend.
To take my favourite example, I think Pérez missed something when he had Diana fight Ares in his run. The entire Cold War, MAD, and detailed planning for nuclear war was much more Athena's domain than it was Ares's. Hecate might not be suitable as an antagonist in that precise way, but she can certainly act as an obstacle to overcome—like why would Diana like to pass through Doom's Doorway?