If humans are having faith in us, and we're standing in for what those higher gods are supposed to be doing, that would only weaken them and strengthen us.

[Honestly, that's another reason it feels kind of strange to be the ones standing in for this sort of thing. Humans pray to certain gods, and if the higher-ups don't generally respond to that sort of thing, surely that affects their power.]

So you're not wrong, but I think it's an individual thing, not a group one.