That's because SNW has not yet ever been "just" fanwank, IMNVHO.
If the use of Khan in episode 3 of the current season isn't fanwank, I don't know what is. Khan is basically dropped into the story as part of Goldsman's "correction" to the timeline, but he serves no purpose beyond that. The story doesn't provide any new insight into the character, it doesn't do anything except to move up his birth 20 years.
It has an "NX" registry though, and the registry number is in the 300s. That would seem to indicate a relatively new ship.It's not explicitly stated as being built in the 2160s. Background information for the film states that it was originally built by the United Earth Starfleet before the NX-01, and then when the Federation was formed in 2161 it was transferred to the Federation Starfleet.