I know it makes no sense whatsoever, but my stabilitrack and CEL lit up like a Christmas tree when my oil pickup grommet went out and started dropping my oil pressure down at idle. I've got a post on here somewhere of the 8 plastisized pieces that my rubber grommet had turned into, as well as a video of my dash indicators lighting up when I came to a stop light including stabilitrack. After I fixed that and got full oil pressure, no CEL, no stabilitrack issues, it was all good. The only other work worth mentioning was that the guy I bought the rig from had about $1,500k of paperwork doing all kinds of little things like cam sensor, other minor sensors, etc. trying to fix various problems.
How did it relate? I have no idea - but it has been over a year now and zero problems with oil pressure or stabilitrack since through snow, summer, back to winter cold again. So, I'd consider checking into all systems.
Now the transmission problems I'm having, that's another story. Thought I'd mention this though-