From my understanding, part of the reason why cops search the vehicle after a traffic arrest is to inventory what's there so the subject can't come back 2 days later claiming there was a million dollar diamond ring in the trunk or something like that that was gone by the time he got to it after the arrest.
Sorry. That's as phony an excuse as you could ever find.
Past history suggests that they don't care much about contents, but they do care about evidence that can be used in a criminal case--or large amounts of cash which they can misappropriate for their own department.