Just wanted to let you all know that I was finally able to test the new folding method explained here on my newly acquired Lunette and Mooncup UK. The instructions have been edited to reflect this. Also,new Mooncup photos have been added to the bottom.
The Lunette may be easier to fold than the Divacup (and is now my new favorite!)
The Mooncup requires a slight tweak, but thanks to its sturdy rim, it popped open just fine. It was also very comfortable, as many have said. (My preference for the Lunette is due to its less rigid shape which I find easier to remove.)