I'm confused by the premise of your question. Are under the impression that it's possible for a law enforcement tool to have zero false positives?
Nothing has ever had nor will ever have zero chance of false positives. Even DNA evidence can have false positives. Law enforcement, the justice system, and society overall has always had and will always have (highly imperfect) mechanisms to deal with nonzero false positive rates.
Therefore, it is of course important that the false positive rate not be higher than average for a subgroup, as they will be disproportionately affected, since our systems will be set up to deal with the lower average false positive rate.
No, that wasn't my point, and I agree that false positives are inevitable. My point was that you shouldn't only care about an excessive false positive rate when it happens to minority group.
Nothing has ever had nor will ever have zero chance of false positives. Even DNA evidence can have false positives. Law enforcement, the justice system, and society overall has always had and will always have (highly imperfect) mechanisms to deal with nonzero false positive rates.
Therefore, it is of course important that the false positive rate not be higher than average for a subgroup, as they will be disproportionately affected, since our systems will be set up to deal with the lower average false positive rate.