Actually... It seems like she is. The League of Free cities, when ruled, that ruler has a Name. Levant is ruled by the Named Bloodlines. The Good King/Queen of Callow. The Dread Empress/Emperor of Praes.
That leaves Mercantis, Ashur, and Procer as the only civilized nations who aren't ruled by named... And we don't actually know who rules the city of bought and sold at all.