I have owned a Hegner for over 20 years and have done a couple of videos on their use etc. the only thing that went wrong with mine so far is that cheaply made little on off switch which Hegner wanted to charge £24 for but which is a bog standard switch widely available for around £1.
Now I have spent most of my working life with electric motors and machinery but the problem is that Hegners use Induction motors , which is good because they are very reliable and only very rarely give any problems.
The problem with induction motors is with speed control, it's not straightforward, most machines with variable speed controllers use the series wound/carbon brush type motor which can be built in when the device is manufactured or can be added later with hardly any problems. You can't do this with induction motors and those motors such as Hegner use are special and to be honest I know very little about the way they are controlled.
Normal (single phase) induction motors and series wound motors have mostly just have two wires supplying current to them (+Earth) but these special motors have more wires and their speed control is quite complicated which I know little about because my Hegner is the only machine/appliance that I have come across with a speed controlled induction motor.
In 40+working with motors years the only ones that I have experienced with speed control have been universal or carbon brush type motors which can easily be controlled with simple electronics such as thyristor or triac control. The Hegner speed control is quite different and I have practically zero knowledge of how it all works.
The price Hegner charges for a new motor is quite ridiculous but I would doubt that your motor itself is faulty more likely something external to it such as the capacitor/wiring or controller. There is some information on the net about single phase induction motor speed control but it is mostly very technical.
As I say I would be very surprised if the actual motor itself is faulty, they are very reliable and during 1000's of motor faults I have been involved with only about 3 or 4 induction motors had burnt out or faulty windings and they were due to external faults such as a seized gearbox etc.
If you do sort it out I would be interested in what the problem was so please do keep us updated.