This whole discussion is getting redicolus.
Firstly austria never lost wiena,its as austrian as its ever going to be,if austria lost all of austria,moved to budapest and started speaking hungarian it would no longer be austria but hungary.
Same with the roman empire,to say its the same but with different language,territory etc is redicolus.
Does byzantium speak latin?Does it own ROME?
No?
Well its not the ROMAN empire then,its a greek ofshoot with dellusions of grandeur.
There should deffinatly be a decision to rebuild rome for any nation controling all of old romes territory,and any nation back then would have done it given the chance,hell a century after the games timeframe a certain italian dictator was still trying to do it.