I see, with that clarification I can absolutely agree and I'd support the idea. It was not what I understood by "Italy civ" when I saw it thrown around a few times. Is there a common English term adopted that covers the Renaissance city states that could be used as a name, avoiding possible confusion with modern Italy? I've felt uneasy with Greece for the same reason, though I do appreciate the connection is clear and de facto the same principle could work with Italy regarding the city states. It's just that Greece is widely associated with the ancient city states while there are many more stages Italy has gone through that could be associated with the name.
Of course that could just be me, don't kill me with stones if you find my concern trivial or negligible