In reality, we are not the one to give judgment day to any human beings unless it goes through a proper sentencing by the court.
In fact, I ever saw a real incident involving a snatch theft and got caught by the public several years back.
Police arrived later than the victim's relatives and indeed, the theft got bashed up real good

Even when the police arrived, the bashing continued until the theft was in the police car and sent to the police station.
I kahsian the polis car cuz all the blood dripping everywhere from his face and body.