Not so - the law in California prevents photographers from harassing children to take photos, but if they are in a public place then a photo can legally be taken and published without the law being broken.
“Under existing law, any person who intentionally harasses the child or ward of any other person because of that person’s employment is guilty of a misdemeanor, punishable by imprisonment in a county jail not exceeding 6 months, or by a fine not exceeding $1,000, or both.”
”The bill would specify that harassment means knowing and willful conduct directed at a specific child or ward that seriously alarms, annoys, torments, or terrorizes the child or ward, and that serves no legitimate purpose, including, but not limited to, that conduct occurring during the course of any actual or attempted recording of the child’s or ward’s image or voice without the written consent of the child’s or ward’s parent or legal guardian, by following the child’s or ward’s activities or by lying in wait. The bill would specify that, upon a violation of the above provisions, a parent or legal guardian of an aggrieved child or ward may bring a civil action against the violator on behalf of the child or ward for specified remedies.”
This says nothing about pictures taken in public. This is why you now see no pictures of celebrity children taken in California unless with express consent of the parent/guardian.
Agreed regardless of this point - many will disagree about the relationship between this couple and the paparazzi press so I will leave it there.