Stability can be definitely not the issue in most cases where resolution is more important than accuracy, where some fast or tiny change might need to be noticed in a short period of time of observation.
I have on many occasions had the need to measure the drift or level of the tiny millivolt or microvolt offset of an opamp or adj. something to an exact setting relative to a reference. If I was to check with high accuracy a power supply that put out 5.000000 volts and I needed to compare it to a 5-V standard, I would require only an instrument that would reveal the difference, not at all concerned with the accurate magnitude in making this galvanomic measurement.
I would be reasonably certain, at a fixed temperature, that the readings would not drift more than a last digit or so over a few minutes or possibly even hours of observational time, even though the absolute reading maybe lacking in accuracy, but not in resolution nor short or long term stability. I only say this with some confidence because at one time in my illustrious career I was a Senior Metrologist and have spent many an hour qualifying and calibrating all types measuring equipment according to their specs. But only hooking the instrument up to a stable, but not necessarily accurate input for some time could really verify my guess. I have not used this instrument.