reinforcement needed!
If you do this is seismic zones (California) or hurricane zones (Florida), you'll need steel rebars for reinforcement or these structures WILL fall down come the first quake/storm.
Concrete by itself is quite strong in compression, but has no strength in tension, and doesn't bend at all. Just laying rebars between the printed layers won't do it - they need to run vertically as well, AND they get tied together.
Interesting concept, though - but there are now materials and structures that are far more cost-effective than concrete. This system replaces a few thousand dollars worth of re-usable forms with a couple of million dollar's worth of high tech - which I note needs to have accurately placed track guides so when it moves back and forth the building is level . . .
This whole thing smacks of using a howitzer to kill a mosquito.
Moon structures can be built out of inflatable balloons sprayed with plastic foam, then concrete - and you won't need to move this huge, heavy contraption to the moon at all.
Day late and a dollar short, sorry, guys.