Yes, the human error rate is probably higher than a computer, but the correction rate is higher, too. A computer will never, in a million years, realize its mistake, or be swayed by an appeal. It's harder to fix some classes of computer errors, too. The DMV system's facial recognition algorithm will have to add a list of documented false positives, which is an additional feature with a cost. Errors will only be fixed if they are severe and affect multiple people.

A human can just fix the mistake in the paper file as a one-off and move on. No generalized solution necessary.