Some patterns work in some families and don't in others. I don't believe a permissive parenting style is going to work equally well everywhere. A kid choosing to do something bad for them is often just a signal of youth and inexperience.
I just think there's an important difference between "this activity is harmful in excess, so you may only do it for n minutes per day" and "I've decided I want to interact with you at this time every day, so you are not allowed to use your phone then".
I think it's okay to set reasonable limits on screentime. I don't think you should force your child to interact with you; that seems kind of unhealthy.
