I 'm not familiar with Durst so take this FWIW.
If the Durst has a counter balance spring adding tension to help in lifting the head, the clutch is probably worn and probably should be replaced. The question is whether the white part or the other face is worn.
As a SWAG the silver plate engages with the white one when making an adjustment?
As someone who can't resist "fixing" things like this, I'd try using some gasket material, cutting a disc the same size, slitting one side & slip it onto the shaft. That may increase the friction enough for it to work.
Gasket material is a thin cardboard material usually sold in auto parts stores in small sheets ~9X12". Failing that a hardware store may have a large enough fiber washer to work.
Gasket material would be thinner than a washer but either should work for you.
The washer would be easier to find they're normally found in plumbing area.. It's already a circle & all you would have to do is cut one edge.