I don't see the contradiction. Yes, Romans referred to the region as Syria and that also reflected the cultural/political scape for much of the time. Assyria did span the entire region, and even during the Roman era their dialect was spoken by most people (including Judeans).
Choice of names is political in the same region now too, and the games leverage the fact that there are many ancient place names making contradictory "claims."
Choice of names is political in the same region now too, and the games leverage the fact that there are many ancient place names making contradictory "claims."