you are responsible/accountable for the actions of your child at all times, whether you are watching them or not. It's part of being a parent.
Criminally liable? That's insane.
Raising your children not to be little sociopaths who can eventually be trusted as adults, is a major part of parenting.
Parents have limited control of that. Children are not remote controlled robots, they're their own people, and some of them are shit, no matter what you do.
Let me ask you: Should parents be responsible for damage done by their child?
If you can demonstrate a pattern of bad parenting, sure.