The Ohms section working only when warm is kind of odd. Usually leakage gets worse with higher temperature.
Also the leakage current is really high (like up to 500 nA) this is a lot for leakage due to contamination.
Just looking at the DC readings would strongly point to the max326 already changed. So the 2 main suspects are leakage due to contamination/burned board and some AC effects. Checking for AC trouble might be easier, at least a quick check. There should be very little AC visible around the Ohms circuit, especially at Q213 (with a 100 K or 1 M resistor at the output), output of U233, emitter of Q251, U223 pins 9 and 11. No need to measure around Q214 this is close to having the probe in the air.
Instead of directly the output, one might use the low value 4 wire shunt as ground. How are the old measurements done (e.g. Probe). the old measured 25 mV_pp at Q213 might indicate a problem, but could be just an artifact from poor ground / probe. For a precision instrument I tend to prefer a quieter signal.
As the leakage problem got slightly better with cleaning, there is still a chance it could be just contamination. Residue from the caps might leave behind rather thin layers that might not be so visible. For cleaning DI water (usually plenty in several steps) might be more effective than IPA or similar. The main suspect would be the area around U223.
The extra transistor (Q226) seems to be part of the high ohms part. I don't think it is really related with the problem, though it might be nice to have the Ohms schematics complete. It is kind of separate from the normal ohms source, more like having the 14 V reference (or ground) connected through a large series resistor.
The amps section look rather conventional, though leakage in the µA range would be a lot even for the DG411. One suspect would be U234, especially the 2 gates connected to the DCA line. There might also be leakage from the DCA side. It is likely going towards some precision OP or maybe the main mux before the gain stage. Again a lot of leakage from the board might be the culprit too. For surface leakage it would be more like relative humidity than temperature that is the culprit. So cold and really dry should be similar to warm.