they were of eastern rite but not orthodox, and the area must have been latinized already in 11th century.
There were still difference between two parts and open schisma in that time. Nitria was different teritory from Moravia, it was closer to Eastern Orthodox influences from Rus' and it was possible that some isolated Orthodox communities existed (330 000 crusaders is exageration), nevertheless dont forget that in rest of Hungary existed Orthodoxy. Saint Stephen built Greek monastery for his daugther-in-law. Bishoprics under jurisdiction of Constantinople existed untill XIV century.