Not really, no.
Empires where the ruling class is foreign heretics tend to be weak.
In the West, the Frankish state lasted because they were catholic, as opposed to the Arian, heretical, vandals, ostrogoths and visigoths.
Now, if the 'latin' rulers converted to Orthodoxy, then they havea much better chance of surviving - but then, how 'latin' are they then.