Does the same apply to Naval Reactors Engineers (i.e. can you make a career out of that in the Navy and what's the advancement like?).
My former Heat Transfer instructor left from a teaching position at NPS a couple of weeks ago to take a job at NR. I actually asked her about the same scenario you bring up, and the answer she gave was "no, but...". Youll be able to advance to Lt. (O-3) as a Direct Input officer, but you wouldnt advance higher than that without a sea tour. That being said, (here's the 'but') she is being allowed to stay on as a civillian after no longer being an officer.
You can take that for all its worth, for its all secondhand information from someone asking someone else about something that they themself hadnt even done yet...