If we could force the cops to always use the tool in a way that is consistent with its limitations, then you might be right.
Unfortunately, cops are not technologists. They're not mathematicians. They don't understand the dangers of applying a solution that is right 99% of the time to a population of 300 million people, and if each person averaged appearing on just one camera per day, that would mean three million false identifications per day.
How many real criminals are they really looking for on a daily basis, and which would warrant such a dragnet measure?
They can't handle a false positive rate like that. They can't be running around like chickens with their heads cut off, trying to verify the millions of bogus hits against the tiny fraction of potential valid ones.
It's the same problem that the TSA has, only these are real police with real guns. And real people are going to get killed because they get mis-identified, as opposed to just inconvenienced and pulled aside for extra scanning.
Do you really want to make the cops as bad as the TSA?