Or, more simply, I now need to remember to check that the car I'm assigned _matches the paperwork_'s license plate number. It's not something I would have considered necessary, but is a good idea nonetheless.

No, that's still the wrong solution. A computer telling an officer that a car has been stolen - that mechanism is too easy to abuse - it ends up hurting totally innocent people. In most of these cases the driver even showed the officer their paperwork - a rental agreement showing they have the right to use the car.

Don't let a computer tell the officer to pull out their gun.