I might be wrong but I remember Futaba and Otoha stating that they already knew abuot her manic states before the start of the game (and so the time loop). Of course this doesn't completely clear doubts (and again, I'm not 100% sure), but I think it would be weird if Daisy or whichever entity would mess up with them too
That's a fair point, and a detail I had forgotten.
That doesn't change the fact that Manic Nodoka does things a human shouldn't be able to do.
So a more likely explanation would be that in her manic fits, she's tapping into a divine channel, similar to Speaking in Tongues Yasu, and given her level of perversion, it wouldn't surprise me if she had some kind of natural affinity for Nozomu, but isn't actually able to make sense of what she's connecting to when it happens.
Which is, admittedly, an interesting take on the "driven mad by infinite wisdom" trope.