They can run my plates til the cows come home and they won’t discover I have a CCW.
That’s because our Sheriff doesn’t share that information with anybody.
My wife lived in another county when she got her CCW, so the cops inquire when she’s stopped.
Idaho CCW and driver’s license carry the same number. My wife is a police dispatcher. She informs her officers of ccw status on a traffic stop. Not usually a problem.