So another step taken in diagnosing the burnt out NTC thermister.
I set 10V to the 320VDC with a 0.3A limit. When the current was limited, the voltage was limited to 5V. That is 16ohm.
With 320VDC, the current would be 20A. So maybe that is what roasted the NTC.

This could be a red hearing because of the non-linear semi-conductor devices.
All of the components in pink hi-lighter are lifted to take them out of circuit. I wanted to isolate the power switching circuit from the DC smoothing caps. I split the circuit to see if the smoothing caps were a problem.
This scope hasn't been powered up for a very very long time so I started by reforming the capacitors.
I started at 10V with a 0.1A current limit, and gradually ramped up the voltage until I maxed the power supply, at about 55V. Enough to get the electro-chemistry right.
The current was effectively zero. So the caps are OK.
I checked the really badly discoloured leaking cap on the secondary side that I had removed. This had failed to an open circuit, so could not cause the NTC to burn out.
I also need to check the transformer. If this is faulty, the scope is a brick. There is no way I could fix or replace a faulty transformer.