Of course, here they are:
IA 389V
OA 88V
IB 86 V
OA 85 V
Kreg B 0V (which, I guess, isn't good)
Quick edit: did a continuity test, turns out Kreg B is currently grounded, which obviously shouldn't be. So I have a path to trace back. Will let you know.
Longer edit: if my understanding of the driver and shunt regulator schematics are correct, current from Kreg goes four places: A2, 431, R4(B) and Rc(B). So here were my next steps:
A2 was grounded (obviously). So I unsoldered the white wire from A2, and checked. It wasn't grounded anymore, but Kreg still was. So the issue wasn't on that side. Resistance to ground at R4(B) is 148 k ohms, as could be expected. Resistance to ground at Rc(B) is, logically, infinite as the capacitor stands in the way.
So that leaves 431 as the likely culprit. Resistance to ground at the lead furthest from Kreg B is 2.5 kohms, as expected (connection to R3(B)). Resistance to ground at the middle pin is near null (less than .3 ohms on the multimeter), as, if I read the circuits correctly, is expected. This leaves the pin closest to Kreg B, where the resistance is less than 1 ohm too (0.8 ohms on the multimeter). So I'm guessing that this is the culprit. There was a big (at least, once looking at it with the magnifyer) blob of lead at the foot of that pin, so I removed it with a solder pump. As far as I can see under magnification, there is no solder bridge either under or above the board, so I'm a little puzzled. Shall I try to remove it, clean it and resolder it?
Some time later: so, I've removed the LM431A shunt regulator, and I've apparently managed to damage it during installation: I cannot see any lead bridge for the life of me, yet two of the pins are connected when I test them with the multimeter. So I guess the next step is to find a new LM431A and replace.