The weakest link on ML39/390S type CD transport

Having for yet one more time cleaned the loading-tray guide rods of my Levinson ML39 converted to 390S (the sticky rods stopped opening the tray, when during power-outs the player gets cold).
These players get jolly warm (due to class A analogue output stage) quite normal during standby,and still worked when waem, but any of even the ’finest’ lube seems to get resinous after being warmed up for extended periods...

Upon opening the enclosure, half of a spidery looking piece of plastic fell out.
Turns out to be part of the CD centering ’thingy’, fitted over the transport motor’s drive shaft.
It is such a fagile looking piece of plastic stuff, once broken, renders the player a self-destructing CD wobbling device.
Has any one found a solution/a fix for this fault, rendering these otherwise most robust players essentially unusable?
Surely many such players must have had such issues?
M. 🇿🇦