"The child has no intellect on its own."
While I think you mean knowledge, I must disagree even with that. Kids are information vacuums. Upon reflection it is obvious that kids must be able to attain such knowledge as is necessary to successfully live to reproduce in order to perpetuate humanity, which obviously has continued to exist for hundreds of millennia. Before they learn to talk, they have absorbed the knowledge necessary to support the use of language to conform to cultural circumstances, which are enormously variable across the world.
Your expectation of the burden of parenting is accurate, because it is parents that primarily deliver to kids all that wealth of knowledge they attain to, and this knowledge then creates the foundation of understanding kids continue to build on during their educational careers, whether they are subjected to government indoctrination day camps or not. I chose to homeschool in order to prevent the enormous deception and disinformation public schools inflict, which I consider more important and formative than any actual factual information they could acquire thereby. In hindsight I was right to do this. My sons have always outperformed their public school peers, and today continue to be autodidacts and professionals that are admired and followed by their peers, and indeed, everyone that knows them.
While I cannot take credit for their achievements, I can be pleased that I did my best to prevent them from being burdened with false indoctrinations they needed to break and replace later, which I believe has enabled their lifelong success at achieving their goals. It is a mistake to believe that giving kids some false history is better than no history, because kids make their own history from the events in their lives, and the rest is just words. It is the events they experience that provide actual relevant historical information to them, and this creates a filter through which they read every word all their lives. If the cultural context provided them is some contrivance that does not affect their lives, they will dismiss it with prejudice. This is why the Preacher's kids are so often noted to be so rebellious, because so many Preachers are hollow shells of pretense of religion while actually demonstrating much different values to their kids than they preach.
I undertook to involve my kids in my professional, economic, spiritual, and social environment, which demonstrated to them the actual moral and ethical standards I lived, that I also sought to profess in the ritual and daily prosecution of our home. It is a mistake to believe that other spiritual traditions are hollow and void of meaning to their professants. The shrines to Ganesh Hindus maintain are no less significant to them than are kneeling in prayer before bed to Protestants and Catholics. The same sense of worship and gratitude to deity is felt and expressed by Shinto and Buddhist celebrants as in any other tradition. Atheism is a faith no less than Islam or the other Abrahamic religions, however, one thing I have never been is an Atheist, because if I cannot judge certainly how this universe has come about, I equally cannot judge between no one and some particular one. Atheists pretend to know that no god created the universe, which is no less merely faith than saying some particular god did so, whether Raven or Jesus, or any other.
The fact is that I have no specific information, and this is the truth no faith honestly states. Every tradition makes claims of being the one truth and all others evil heretics or heathens. I simply note that this is what they do, and that there is a purpose, a propaganda purpose in doing so, to create cohesive societies that can succeed at war. That seems to me to be the true purpose of religion: to defend society from aggression from others, and to successfully conquer others. I leave the lessons of history to demonstrate this fact to those that care to weigh the matter per their capacity to judge such record. Those that have been burdened with indoctrinations very often are incapable of viewing such record objectively, but must weight the record via the special exceptionalism their indoctrinations have accorded their society.
It is obvious from the conflicts in the world today that this exceptionalism is the main driver of war, whether in the Ukraine, Israel, Ethiopia, or anywhere else, people's are pitted one against the other and each claims to be the rightful victors based on their religious worship of the right god(s). I have sought to provide my kids with traditions and rituals meaningful and real that enabled them to themselves judge what is true and what cannot be true, as I have argued throughout our conversation. I owed them this as their father, to teach them the truth that they are the only judge of themselves that matters to them, and I hope I have managed it as well as I kept them fed, housed, and clothed until they escaped my rule. From their success at living their lives by their judgment, I have succeeded admirably, and I am content with that parental achievement.
RE: A COSMIC MULTI-PLAYER GAME - My interpretation of the book of Genesis