Not exactly. They are the real power in Amadicia after all, though that might not be considered a major nation. They do have plenty of influence in places like Tarabon, Ghealdan, and Altara, and parts of Andor, basically much of the southwestern corner of the map, or places where the AS have the weakest influence excepting Tear. They're strong enough that Pedron Niall believed he could use their strength to revive the nation of Almoth as an openly WC nation.