As much as I would love this to be true, I don't think there's any "wait and see". We already know for a fact there's a Solution 1, 2, 3 etc and they're referring to the floors of Everkeep. In fact you can talk to Ubuyu in Solution Nine and ask her "What kind of place is this?" and she'll explain the origin of the name. Even if the citizens were lied to about the name, how would that affect anything? Some citizens live in Solution 8 which is just downstairs and that has nothing to do with the 8th reflection.

And the reason why it's called a "Solution" is because there's a "Solution to every problem", as in, you can find anything you need there.