Speaking of HSiFS plot points, I was thinking earlier: If it was Okina/Satono/Mai's doing that made people from Gensokyo get their power boosts (including, technically, the protagonists with their seasonal options), why'd they bother empowering Aya?
As a Tengu, and therefore an enemy of Okina, I can't see them giving her power on purpose. Did they just make it so _everyone_ would be empowered by the incident, or is there something I'm missing here?