Having worked on a product for 3 years that attempts to target this market I can tell you the sad reality, is that nobody really cares. Sure, there are clickbait headlines and companies/parents will feign interest, but when it comes to actually paying for a product or making any tangible change to usage habits, our numbers prove that nobody even tries.
For full disclosure our product turns the Internet off until they complete goals like studying, completing quizzes, commiting to GitHub, etc.
Our first launch was a DNS only solution which we assumed lacked usage because people had to change their DNS address to one we spun up for them. It lacked usage and we assumed it was because it was "too technical" for parents.
Next we create an iOS app that worked out of the box as a VPN without any setup. We don't even ask the users to register in any way or pay anything.
Lastly we created a Chrome extension because it's the easiest way for tons of kids with Chromebooks to use.
Long story short, after multiple re-launches and trying to get feedback the overall result is that it's an almost impossible task to get parents or kids to change their habits, even if they "want" to. They will make up excuses and quit nearly instantly.