I can't speak for the gods, not having asked . . . but my guess is rather that they probably would not institute old NY, just because it was always a bit of an anomaly at a place called ANCIENT Sites (or ANCIENT WORLDS).

People naturally tend to forgot that A.S. started from the online gaming Chapters of SPQR (Rome), the mystery in Athens, and the mystery in Nieuw Amsterdam, all online games back in 1995-97. The original beta-launch of A.S. included Nieuw Amsterdam because the online "game" was in beta-testing as well, and the old NY community developed from there. But it always stood out a bit, surrounded by Babylon, Egypt, Rome, and Athens of 1800 years before!

That isn't to say, however, that the gods might do anything unexpected. Just my guess.