Can I level up my Inner Ability?

So basically, I use Circulators to randomly change my Inner Ability, but I can get a higher level one if I do so?

The level only represents how good of a stat you rolled from that circulator. E.g. you could roll all stat +5 and it would still show as C rank, or you could roll all stat +25 and it would show as A rank.

There is no way to preserve ranks, and they go down as well as up, completely randomly.

higher level circulators become accessible through the random shop that changes after each aswan pq, but appear to be limited to circulators accessible to your honour level. Though, someone can feel free to prove me wrong on that.