Unless I'm missing something, the pertinent license-plate misreading happened when the vehicle was pulled over. It's one thing if a false positive shows a stolen vehicle or license plate where it isn't, but all that means is any resources put into locating it will go wasted.
Pulling over a vehicle, and incorrectly thinking it is stolen, is an entirely different and much greater mistake. In this case the actual vehicles actual license plate did not match anything stolen.
I'm against law enforcement vehicles having continuously-operating license-plate cameras, but if there were cameras to identify the vehicle currently being pulled over, I'd be fine with that, as it would likely have a much, much lower error rate than the human chain currently doing the verifying.