The ship looks nice, but the "trailer" feels pretty stale. The only actions of the characters are just standing in an elevator as it moves up, and they don't even speak. If anything they're looking bored in that elevator, when it really should have been used as a point of dialogue to hook the audience in on a character's personality. The only time anyone IS speaking is a quote from Scotty, from TNG. It's reminiscing from outside the new movie, so it's misleading in terms of being a trailer, unless it's to hook in the TNG audience.
It's pretty clear the trailer's only purpose is to show off the ship, and it's even inconsistent in itself. We see the saucer taking off, apparently implying that it would join up with the stardrive section in orbit, but then we see fireworks of the Enterprise in the yard with both the saucer and the stardrive right there. If this trailers was as scrutinized by haters like the new movie was, this would probably be a point to bash the "new movie" with. Likely incessantly.
The point of the new movie was to present a brand new face to Star Trek, to separate it from the older, stale universe and make it more accessible to audiences. That was the whole point of the radical redesign in the Abrams movie. From that mindset the "new movie" the trailer would be for appears half-hearted in that regard. We get new uniforms, a new ship, and the shock of building the Enterprise on-earth, but that's it. Scotty's Quote and the re-use of the TNG+ warp effect make it seem like it's more grounded in the older series... which was not the objective of the movie. It might have been better if we got the personality of the two characters from a speaking part, but since they were mute and standing around we can only presume, at least characteristically, that they are as stale as their "prime universe" counterparts.