I disassembled the other two and ran most of the boards through the dish-washer (not the power-supply).
I reassembled "Unit 1" and tried to get it running properly. The Ohms-selftest failed with a reading of ~0. Found R604 to have failed open, replace from a donor and resistance agreed to calibrate on 10k, 1meg and 10meg range but 1k was pretty off

. R604 and R602 are a matched set, you have to replace both! And the Ohms-zero took me a while to figure out, there are two current-sources, one on the positive side and one on the negative, Ohms-zero set their balance and you have to connect source+, source- and +in, floating from -in.
One of the AC-reed-relays failed to make contact, replaced.
Still the same ppm-noise as Unit 0

The ref and zero-self-test are very stable (+- 1ppm) so the AD seems to be ok, so it's in the input-amp...
Started probing around in the chopper-part just out of curiosity, hum, the copper-O/P seems rather noisy...
Is the last integrator op-amp (AD545) crappy? Found a data-sheet with some help from in here, not super-good, maybe a op07 might be better? So I tested a few in a circuit with 1meg//1uF feedback and +in grounded, CA3140, OP07, AD820, AD545 and LTC1150: 3140 was worst and 1150 best, 820 was better than 545 and 07 but not by much. So ad545 might be pretty ok.
Next I probed the stage before the integrator, IC405, LM301 with a 3.3n compensation. When the jfet-demodulator goes open (and I guess the load on IC405 gets capacitive) it starts to oscillate! The same happens on both Unit 0 and Unit 1!

Dropping in a 33-100n-copensation fixed that!