I don't think the sims are anywhere close.
Shadow Priest is in a good spot right now.
Once you get outside of MSV, our DPS shows a much different picture.
Let's go through Heart of Fear, shall we.
Ranked 16th spec. Every class has a better dps spec than we do here with the exception of Druids whom we edge out by less than 225 dps.
Ranked 13th spec. Every class has a better dps spec than we do here with the exception of Shaman whom we edge out by .2 dps.
Ranked 11th spec. This is our best performing fight in the entire instance. We perform better than Hunters, Monks, and Shaman, but still get beat by everything else.
Ranked 15th spec. Only Hunters perform worse on this encounter and by less than 2k dps.
Ranked 14th spec. Once again only Hunters perform worse.
Most of the specs are not ranked yet. Either way we are sitting at 8 out of 13 specs as of the time I write this, which is still below average.
So for 4 out of 6 fights Priests are the 2nd worst class in DPS. At no point do we hit average on any fight in these parses. Other classes are doing a minimum of 15% more damage and at most 35% more damage than we are on any given fight.
To say Shadow Priests are in a good spot right now is, in my opinion, faulty. MSV is an instance with mechanics designed to empower Spriests DPS. Outside of this instance, the numbers do not lie - we are not in a good spot.