There is not much to tell as everyone's usage scenario has different local interference that might affect might or might not affect measurement stability.
Typically it's local EMI which can be from a # of sources but in most cases it's nearby lighting of which fluorescent or LED can be an issue. How this manifests itself is unclear without detailed investigation as it could be radiated into the cabling from the wall wart PSU or into the CM itself.
Before getting mine I read about this a lot online and concluded as others have a ferrite core with the wall wart cabling passed through it with a few wraps is likely to fix any issues and in my case that's what I've done and never had a problem.
I have a single fluorescent maybe 5 feet above my CM and a small gooseneck LED focussed onto my Rockchucker and dunno what all the negative press about CM's is.
Further, as mine is just a couple of years old it came with the multi-voltage SMPS wall wart instead of the older 110 or 230VAC fixed voltage wall warts and as SMPS wall warts can emit copious quantities of EMI the addition of a ferrite on its supply cord will also help suppress any electrical noise being passed into the CM via its cable.
Complaints about this go back years and for all we know RCBS could have added additional supply filtering into later builds like mine.
YMMV