It's there in the original, although I must confess I never noticed until the TNG HD trailer.OK now tell me if I'm crazy: In the new trailer, where the E-D does its second warp jump from the opening title sequence, I am 99% sure I can see crew members walking around in the little windows below the bridge bubble on top of the saucer.
In the original opening you could see Picard or a person in the briefing room. The shot is later used in Encounter at Farpoint.
-Chris