I don’t think so. Even during the Triarchy, we’re talking about a federation, and I doubt these city-states would give up control over their farmland. Also, a lot of the territory is going to be devoted to servicing the nearest market, with the big question being who controls the borders and the center.
Your government isn’t that much different from the actual Triarchy, with the difference being a Council of 33 magisters vs. 3 Triarchs.