That seems like it would be very cool if the goal was to make Byzantium a T1 country.
Yeah, they didn't even really call it Byzantium, at the time they just straight-up called themselves the Romans, and their neighbors called them that too, despite the lack of any actual Rome in their empire at the time.If you think about it, the Byzantine Empire was (at least in its heyday) an 'empire' with a stronger tradition than HRE.