No doubt this is just a small contact problem that I could probably fix by myself, but I'm afraid of opening it up and not being able to set it up again properly. Since the wheel is still in warranty, I decided to contact Logitech and ask for a replacement.
After a few messages, they agreed to send me another one. But on one condition: I am to DESTROY MY WHEEL and send pics as proof! They won't give me a new one until I have sent evidence that my wheel is properly "unusable".
WTF is this shit

I really don't know what to do here. But destroying it is beyond retarded.