I desoldered the controller chip and wired it up for a test.
The switching transistor seems ok-ish (zero leakage at 40V, body diode measured 0.6Vf) but the control pin sank the full limit of 50mA at 6V. As far as I can see the datasheet says it should max be on the order of a few mA. The chip didn't start either.
According to the equivalent circuit (see attachment) there's primarily a couple of resistors between C and S pin, so I measured the resistance and it was 20 Ohm, explaining the current draw.
So yeah I guess that means the controller chip is dead as well.
I found some at AliExpress, looks totally non-original in the pictures but on the other hand not sure I want to replace this multiple-output board either...
