I understand what your concerns are but, an officer can run your tags any time he wants to. In fact, he will run your tags before he even pulls you over......every time.
Police can program the system to look for specific plates -- think Amber Alerts or vehicle descriptions from crime scenes.
Even PARTIAL MATCHES can be used to stop you.
It's akin to getting all DNA on file and then just running evidence through it to determine who are suspects.
Time was you made a case and proved it through evidence. Now you are accused because "your name came up" and you have to prove your innocence.
The attitude that "everybody's guilty of something" comes through in the line about how tag offenders are likely to have something else in their file.