It's theoretically possible that any sufficiently strong superhuman with a monster parent from the 7th's line could screw with powers that allow prescience, including Zaman's. The Darkness trait messes with all superhuman powers, but the intangible ones that are purely supernatural get hit the worst. Clearly they couldn't see the ass whooping that the (heavily implied to be) 7th put on all of Team Kronos coming, nor try to loop out of it to avoid the fight. It's also been shown that those that inherit the power, even in its impure form, are capable to punching well above their weight class. But it's also been shown that, like many other possible story-breaker powers in the game, having sufficient amounts of power mitigates its effects.
It does make me wonder on how exactly Zaman and Halona's powers work though, since they couldn't see it coming. For Zaman at least, I highly suspect his power operates on a mark and return system, so he probably got screwed over because he lost the ability to loop back to before the whole team got manhandled by the avatar of a god. He definitely has something more broken than the main application of his power up his sleeves though, as he did something to save his team from getting massacred as a mere level 4 (albeit an extremely old one) despite getting into an encounter with something that's so absurdly powerful that in-universe it's infamous for killing and eating the avatars of other apostles.
