Celebrities and self-promoters have existed forever. As have gossips. Generally people are interested in others' personal lives.
> parental control
This is going to be an endless battle, and will come with ludicrous comparisons to the various ages of personal responsibility. You can as easily end underage internet chatting as you can end underage drinking.
You say that like it's a good thing, when a lot of people believe that the final frontier of liberation is within the family - from domestic violence to the dismantling of anti-LGBT attitudes.
And, just to return to the original topic, the original article does not actually mention children. Even if we constrained social networks to those over 18 (they're currently supposed to be constrained to over-13), it wouldn't put much of a dent in the big problems. It's not (just) kids that are sharing antisemitic memes or fake news about immigrants. The dysfunctional politics of social media is an adult problem.
It wouldn't be so drastic if the family unit were not under attack by social movements hell bent on removing the last bastion against their attempts to introduce social upheaval. the family unit is a real and functioning means of social survival. Attacking the family unit because it is "the final frontier of liberation" is a highly contentious argument - it also happens to be the last bastion of true civilization. Once the family unit is deconstructed, civilization fails. This is demonstrated throughout the historical record.