Aha! I found the pictures I've been looking for so I can ask my question about the appearance of the moon at different places on the earth.
Here are two time-lapse images of the moon - both shot through the month of October 2007. The top image was shot in France, the bottom was taken in Argentina:
As you can see, the moon phases are crossing the moon in opposite directions and the moon itself is the opposite way up in the two hemispheres.
This matches observations that I've personally made - so I know they aren't "faked" - and there are tens of thousands of online images of the moon that were taken in the southern hemisphere that show the effect clearly - they can't all be fakes!
So how does FET explain these phenomena?