can we legally treat ai companies like parents of children? if a child drives a car into a storefront, the parent is responsible for the damage, and at some point you might even criminally charge the parent if there was gross negligence

The law already works like that. You can’t write some computer code and automation, set it loose, and then go “oops the computer did it.” It’s not a defense. While it may be hard to nail down which specific engineers to lock up, the corporation as a whole absolutely can be charged criminally.

As Mitt Romney once said “corporations are people.”

Hate to say it but I don't think you're right on the legalities even in the children's case. In the US anyway, in most jurisdictions [1], if the child's act was not malicious, then parental responsibility is not automatic, but is contingent on the result being foreseeable [2] by the parents.

[1] Hawaii and Louisiana are strange in this regard. Some other states have a version of this but severely cap the amounts.

[2] "foreseeable" here standing in for a broad set of legal standards that roughly map to negligence/gross negligence/recklessness on the part of the parent