But this would have been well after the Etruscans migrated to Italy (possibly from Asia Minor, recall), which was sometime between about 1000 BC and 800 BC. And in 334 BC, Alexander went rolling through Asia Minor on his way to conquering the Persians, who controlled Asia Minor at the time. And, of course, even before Alexander arrived, we know that there was already a heavy Greek influence on the region because Alexander "liberated" many Greek-populated towns and villages along the west coast of Asia Minor (and burned a few, like Halikarnassos).
So, we know there was a definite Greek influence on the region before the time of the Gokturks. And we have these Etruscans, who had this wolf symbol, that predated the Greeks. And then, later, we have the Romans in the region, forming the beginnings of the Byzantine Empire.
So, if the Etruscans were, in fact, from Asia Minor, it's possible that this wolf symbol is a very old symbol that they brought with them from the region. And then, later, you have the wolf myth of Romulus introduced into the region by the Greeks, which is later reinforced by the Romans. Since the wolf is possibly already a symbol with significance to the local peoples (which the Etruscan wolf symbol might indicate, recall), their native wolf symbology and the introduced Greek myths eventually become conflated and mixed together in a sort of hybrid story. And then, later still, we have the rise of the Gokturks and their conquest by the Chinese, which is how the Chinese eventually work their way into the myth.
Sound workable? Works for me - when do we publish? ;)