If we are imagining not just a society in which (1) people are punished for the crimes committed by their family members, but more specifically (2) a tyrannical

If we are imagining not just a society in which (1) people are punished for the crimes committed by their family members, but more specifically (2) a tyrannical society which criminalizes acts (blasphemy, lese-majesty, etc) most of us don't regard as morally wrong, so that even children can commit crimes through stupidity/thoughtlessness, then I agree most people would live in (genuine, suffering-inducing) fear that one of their family members might commit a crime. But IMO the fear in that case comes not so much from the mechanism of family punishment as it does from the tyrannical nature of the society itself (one would equally fear oneself accidentally committing lese-majesty by a slip of tongue, for example).