No, in my opinion the difference that occurred in the roman Catholic and byzantine church were subject to the culture and people's interpretation. The eastern roman empire felt as if they were the last remnants of roman society after the barbarians overthrew Rome. Emperor even tried to reconquer Rome. So they just accepted the divide and conquered territory in Asia Minor. But they attempted to rejoin as one after the council of basil in 1356(?). But the people of constantinpole were upset they asked the Pope for assistance.
Ps sorry this bad, I'm on my phone