I would like to share my experience with K2000 modification too. Some time ago, I decided to upgrade 7K resistor (R194) in the constant current source circuitry. It is used for generation of 1mA current for 100Ohm and 1kOhm ranges.
For some reason, Keithley decided to use cheap 7.06K PTF56 5 ppm/°C resistor with long-term stability ± 0.04 % (1000 h rated power (0.125W) at +85 °C). It might be the reason, why measurements on 100Ohm and 1kOhm ranges were out of specs after some years of service. Ranges 10kOhm and above were just fine. So I decided to replace PTF56 resistor by RNC90Z type (6.98K, 2 ppm/°C, stability 0.05 % for 2000 h, 0.3 W at + 125 °C). After the update, day-to-day variations of measurements on 1kOhm range are much smaller.
The disadvantage of the update is you have to re-calibrate your unit since the value of 1mA constant current is changed. But it was not an issue in my case since I wanted to re-calibrate it anyway. (It did a partial calibration of zero, 10V, 100V and 1kOhm ranges only.)