I'm going to throw my hat in on what I think each Scion could do on their other side, here goes
Aeon Master: Plays a lot of Aeon Men on his front side, but only to one battle zone, might start doing damage and have damage reducion linked to Aeon Men on his other side, or be completely Minion reliant. I'm guessing that if he flips back, he moves to the other battle zone first, as a retreat and set up elsewhere tactic.
Dark Mind: Steals your stuff and does some damage on the front, but if she flippy floppies (a technical term meaning she'd flip to each side multiple times of the course of a game) she might start discarding cards under her to do more damage on her other side, and flip back when she's out of ammo. (edit) she might discard them to destroy all of them with that name too/instead
Sanction: Has a considerable HP pool, and appears to be charging up for a devastating assault on her flipside. Might play extra Scion cards or discard them to increase her damage on the flipside. Doing damage equal to the amount of cards in the trash seems like a thing to look out for.
Borr The Unstable: He can really rack up tokens on his front, but I don't think he flips back, looks like he might go for an explosive finish. He'll likely use those tokens on his other side, though I've no idea what for...
Empyrion: I've no idea, there doesn't appear to be any hints and I know none of his story (though some might come up during the nemesis episode of the Letters page...)
Nixious The Chosen: does a considerable amount of damage and heals on his front, and on Advanced does not wait around to flip, I don't think I want to see his other side, but taking him down will be hard (because he heals 8HP per turn without any help from the Scion deck) I don't think he'll flip back, unless he flips back when he meets Oblivaeon again. I'm not sure.
(Super Sonic) Progeny: Targets the person with all the rewards, and if he incapacitates them, the rewards might go too, if he flips back, he'll need to get rid of those tokens on his other side, maybe he gets healing on his other side but loses a token when hit?
Voidsoul: Definitely a flippy floppy one, might just flip whenever you flip an objective regardless, maybe he tries to steal rewards, as to flip one reward card needs to exist somewhere...
Faultless: Looks like he only flips once, on his other side he might mess around with even numbers, like "if a hero target would be dealt an odd amount of damage, increase that damage by 1" or maybe he becomes the Faulltless that helps Expat and Setback?
Anyway, these are my guesses, feel free to make your own!