But if the war was big enough to encompass all the Coalition races, then it makes little sense that the one they fought with the weakest of them (Earth) would be the one most remembered. And seeing how the Federation is made up of all the races involved on the Allies side you'd think they would've just decided to name it the Coalition-Romulan War, or just "The Romulan War". It just makes no sense it'd be so Earth-centric.
Unless we subscribe to my revisionist history theory..
Sure it could be. The underdog fighting a fight and winning or at least to stalemate is something of merit. Say something like 13 tiny colonies beating the crap out of the largest empire of the time on Earth. And did those colonies do it? Sure they had aid from other nations but they didn't do the fighting, they rendered aid and goods and training.
I'm saying that an Earth/Romulan War is still very possible, just more than likely not near the scale as it sounded in TOS etc.