Hardly. The Roman society was well-integrated into what we call "Byzantine Empire" today. The very word "Byzantine" is something only we use to describe the Eastern Roman Empire, while they themselves still viewed themselves as Romans. Not to mention their customs and fighting techniques, which were clearly Roman. The only Greek was probably the official language of the State, as even the local populance spoke a hodge-podge of Greek, Slavic, Latin etc.

Maion