Well, it is kind of that. That’s why as a person you also have to do your own research, and learn about things yourself without having to rely on what you’re being taught in schools and the rest of them. And also as parents I think it up to the parents to help in educating their children the right way. It’s good to ask them and know what they are being taught in school and correct the things you feel should be corrected, immediately. That way you will be helping to shape them into becoming a better person.
No parents should be wishing for their children to be at the same level they are, you should wish your children a better level than where you are, so it’s important that you work towards helping them achieve that and have a better life in future.
As a person who is planning to have a kid soon, that is the scary part, the parents play a big role in a kid no matter how great education they get. You can give a kid the best education in the whole world, the best schools from 5 years old to 30 years old (with masters and doctorate if they want to) and yet if the parents are bad parents (you don't have to be a bad person to be a bad parent neither) then the kid will not grow up with full potential.
Knowing that should make every parent very scared, my kid has this 100% potential that he/she can reach if I can unlock it for them but maybe I will do something wrong and will never let them be that great. This is not about poor or middle class or being super wealthy, you can be the richest person in the world and maybe you will not be able to still give your kid what they want, which is the big trouble.