I have never ( yes, **never**) met an academically successful child who has not been significantly homeschooled. This is true whether they attend an institutional school or are completely homeschooled. This is true even for the academically successful immigrant child. The immigrant parent enlists the help of older cousins, aunts, uncles, neighbors, or study clubs.
I confidently state that all academically successful children are homeschooled!
I am retired now, but my work brought me into contact with literally several thousand families.
I have 3 kids. First 2 went to private Christian school. Cost $$$. One went on to a college degree. Both kids (and friends) are not walking with the Lord.
Last kid was homeschooled day 1, except for a semester at the above mentioned Christian school when he was a freshman in HS (wanted to try it out). He earned 4.0 while at the “real” school, but preferred staying in pjs all day so went back to homeschooling. Was accepted at our state’s most prestigious university.
He’s the most conservative of the bunch, and does utilize critical thinking skills. He DID vote for hiLIARy in 2016, but says he regrets it (he was young/first election).
But, ultimately, I can see that homeschooling is FAR more advantageous to children in that it gives them a firmer foundation for life vs indoctrination. I regret we did not home school our oldest two, and sometimes wonder how much their lives would have been different if we had.