The justice system has thousands of false positives and throws innocent people in jail for decades sometimes. As a whole, society accepts some level of error margin in every facet of society.
After working in risk and fraud, I've seen some truly horrifying stuff. An elderly woman threatened physically if she didn't let the attacker drain her bank account. Huge scams for thousands of dollars. Organized crime rings fleecing millions of dollars. Identity theft. On and on.
I would wager that society would accept some level of errors in exchange for drastically reduced criminal activity that actually hurts people.
Legitimate people getting blocked inadvertently are rare, and often of the stories you hear on HN and Reddit and other places, a good portion of these "innocent victims" are actually doing sketchy stuff when you dig into it.
Justice isn't and cannot be an exact science. Society agrees and accepts the risk.