While, true on a literal level, with the emergence of Kurdish Identity, namely the Princelings, and by extension Saladin, it becomes basically impossible. The Assyrians defined themselves on the basis that they didn't follow a Roman Church, Assyrians who became Muslim would within a few generations became Kurdish, and possibly Vice-Versa. While not true now a days, as many Kurds are more friendly to Assyrians, and so have taught adopted Genocide survivors of their heritage, with mainly Turkish Kurds, being more reactionary, at the time we are talking about Kurd and Assyrian where essentially religious markers. The Kurds themselves are a heterogeneous group, likely derived from Iranic groups displaced by Islamic Conquests in Iran, that mixed with locals. This second part is the point we have here, namely that for all intents and purposes Kurds where Assyrians who converted, only back in the middle ages. This is proved by the Genetics,
as shown by this helpful guy.
What does this mean for Independent polity? Basically, it is impossible. Due to the fact that Kurds are different because Assyrians are Christian, an Assyrian Ruling class would need to either be Christian or derive its power from Kurds, which due to the relative poverty of Eastern Anatolia means assimilation of the ruling class into their subjects, as they won't have prestige over the Kurds. Is it possible to have an Assyrian Male line-Dynasty, yes, can they have a non-Kurdish ruling class, no.