While it has apparently worked for this family, there are also professionals who claim that screens aren't completely damaging to children, but are fine in moderation.
Dr. Max Davie, the officer for health promotion at The Royal College of Paediatrics and Child Health, explained to the Guardian:
"I think it is important to encourage parents to do what is right by their family [...] We suggest that age-appropriate boundaries are established, negotiated by parent and child, that everyone in the family understands. When these boundaries are not respected, actions need to be put in place with parents making consequences clear."
So, the debate around what amount of screen time is appropriate for your child may simply depend on your child's personality. However, for now, the debate will continue on.
h/t: The Guardian & Yahoo