Abrams owns Bad Robot which has a multi picture deal with Paramount Pictures and he is credited as a producer on all projects, like Cloverfield and this new comedy. There are a number of other films Bad Robot has going at Paramount as well. However Abrams is still mostly full time on Trek while it is in post-production. As director he works closely with the editors and ILM every day. He certainly is not 'moving on' and wont until Trek is in the can.
It was never meant to imply that he was finished with Trek. Trek isn't finished with editing and such, just the initial filming, as I well-know from the many things that I read about the film almost daily.
It was only meant to mention that work goes on, that he has other projects and that the "Hot for Teacher" one (bleccch on that name, as a woman that makes me want to throw up) is next up on the slate.