There is. And here's the kicker - it's the same one as before.
Any mirror universe that includes the new continuity would have to have diverged since Nero's arrival in 2233. That doesn't leave much time to form an Empire. Unless the universe that spawned the spiral creating the new mirror universe was significantly different to begin with, and just happens to have lined up in mirror-parallel with the nuTrek Continuity once it spiraled around.....
Edit: Okay, new thought. What if that red matter stuff resonated across several parallel universes? So there's a "neighboring" universe with a Terran Empire that just happens to have their Vulcan implode one day. And when they go looking for why, they end up interacting with the nuTrek crew somehow.