The Micas we have range from 2pF to 10nF, one the best is the 10nF Soviet can mica, which varies less than 0.1pF from day to day on both the TH2830 and IM3536. The other Soviet 4.4nF also varies less than 0.1pF (typically less than 0.05pF) and the Soviet 312pF varies less than 2fF. These are the old hermetic sealed micas, some of the old molded micas are almost as good. We found the molded types more stable than the dipped type, so that's what we selected for the various cap ranges (2pF, 10pF, 100pF, 1nF).
Would think these old GR Micas should be as good, since they are well aged!! Only issue is the banana connections and cables to the LCR meter as mentioned earlier, this creates another level of uncertainty between measurements.
Day to day stability testing? Temperature changes should be enough to simulate that along with removing & reattaching the clips. As you mentioned, these are well aged, so I don't expect to see any significant drift.
I didn't find any issue with connecting to the terminals, but I will test them more...aggressively.

In their manual, they suggest using kelvin probes connected to the wire holes at the bottom of the terminals, and a guard wire connected to the case ground for 3 (4) wire measurements.
I tried as they described on the decade resistor, and also lazily attaching them to the top of the banana port openings, and didn't see any notable difference. The decade capacitor was measured the lazy way. Partly because it was easier, but also because it seems more consistent for a good connection than trying to get the probe clips through the smaller hole at the base.
I'll do some "screwing around with the connections" tests, and some frequency sweeps.
Thanks,
Josh