I mean I agree with that in principle, but: before the Internet, of course big corporations influenced kids and adults! Before the internet only big corporations had the resources and practical ability to distribute any information to a lot of people.
The promise of the internet was that we would have a society where we could all have a say and the flow of information would be democratized. You are right that, because of "algorithms", that promise hasn't really been fulfilled.
I certainly agree that the Internet should be by and for individuals; whether we can in the long term do completely without corporations, I am not sure, but the current "algorithmic curation" is definitely a problem.