I hope not. Aramaic became the lingua franca in the region in the late Assyrian period, that's true, but it didn't become the court language until the Persian period (so they could conceivably have made Cyrus speak Aramaic--which probably would have been better than the weird ungrammatical Iranian hodgepodge he speaks now
). With Hammurabi in particular it would be a very strange decision. (I mean, yeah, Hammurabi was an Amorite not an Akkadian, but even so Aramaic wouldn't be first attested for nearly a millennia after Hammurabi. The language of Hammurabi's court was certainly Old Babylonian Akkadian.)
It's true they could pick one of the periods when the caliphate was centered on Damascus, but I still don't feel like that's ideal. By that period, Aramaic had become strongly associated with Christians, Jews, and Mandaeans as opposed to Arabic-speaking Muslims.
I mean, I'd love to see that, too. I don't think it
necessarily has to be a case of either/or (except insofar as we only have so many civs to go around).
True of its later history, but up until the Hellenistic period Aram was usually either independent or else a client of whoever the regional power at the time was (Egypt, Hittites, Babylon, Assyria). The Kingdom of Damascus was, for much of its history, regionally powerful and very wealthy; the Egyptians and Assyrians allied themselves with Damascus more often than they attempted to conquer it.
That's what I feel like Zenobia would be representing: not an upstart Roman offshoot but a much older history that's lacking in big personality leaders (and, of course, also a big personality leader who happens to be lacking a long-lasting important civilization).