In WA your vehicle registration (license plate) carry permit and DL are all in the same DOL database. Any of those 3 things will produce a mountain of information to LE. I don't see anything on my DL about a carry permit but I'm sure when my DL or plate is run by LE they know more about me than anyone besides me, including the last time I purchased a fishing license or a firearm.
In the P-F basket of deplorables.