Eh, the Arab control in Armenia and Georgia were patchy, especially Georgia as a border region but they did control Tiblisi for half of the time that the main Arab Caliphates existed and Armenia for longer.i can respond to this Arab control at first for Georgia was not vassal state and lasted a century armenia went off and on again from the period of the 15th century owndwar I really cant say since I don't know about Caucasus history and the ottoman /Safavid period to make a claim
Also, often the governours here were also more independent autonomous. I'll need to read more on here as well.