Here are two pictures:

This first picture shows how the burr that rotates can be tilted (the movement is exaggerated a bit here, when screwed in its not really this bad but it doesn't take much to generate un-even grinds)

There are no fixed points locking the axis of the two burrs relative to each other. Instead there are four teflon (?) supports that assist with keeping the rotating burr centered. This grinder was bought brand new a month ago and already these show serious wear.
The design here is really disappointing to me. I was expecting more from a Zassenhaus grinder...
OK, so a summary of what I think happened...
At first the grinder was working well with a decent particle distribution. I am assuming those teflon pieces where completely straight at first, and that the small portion of the rotating burr that is flat was gliding nicely up and down the teflon. The finish of that flat piece is really rough though, not by any means a polished surface. And so the teflon is worn down, and the grind becomes increasingly non-uniform. The grinder in my pictures has ground roughly 2,5 kg of coffee.