They don't show a full moon in the videos, but wouldn't the seconds hand be sitting above this anyway?
However, bravo again A Lange & Sohne, this is actually a very cool way to display the moonphase. Only WIS's will care about a moving day/night disc as well, but it is these small details that make us cherish the work they do even more.
As an aside, I do have to also give them great credit for their video making, what a superb release video on their site!
I love it in the black dial!
Cheers, Imran