I heard that parents seem to be concerned about increasing troubles related to social networking services and that is why they are monitoring their children's smartphone. However,this protective action is raising the argument of invading children’s privacy and the opinions are divided on the issue.
Otherwise, I think there is no problem that both of them agree with that. So the important problem is a lack of communication between them. If they could communicate enough each other, it would be easy to have such a mutual agreement, or there might be no need to monitor them.