I took a look in game and compared to Stellarium, and it doesn't appear that the game takes lunar parallax into account, which is about the equivalent of two moon widths at maximum comparing its position against the background stars from one location and another. It also doesn't orient the moon properly in the southern hemisphere. Taking off from Punta Arenas on December 1 with a full moon rising, the moon is in the same rotational orientation that you'd see from the northern hemisphere with the "face" upright. Without looking more deeply I'd guess that their calculation of the moon and sun's position is done using a greatly simplified method using the centers of the each body as the location. This method is certainly good enough for casual visual use, but breaks down when any semblance of accuracy is needed.