Homeschooling is no magic panacea. If the student is motivated and the parent is motivated and they devote the time to it then homeschooling will be successful. If they don’t then it will not. Same as with public schools.
"If the student is motivated and the parent is motivated and they devote the time to it then homeschooling will be successful." I agree that this is the recipe for success.
But..no matter how motivated the parents or students are there is no guarantee with public school because success is partially dependent on the teacher, the curriculum & the other students. The liberal indoctrination, disinformation, low teacher/administration expectations and peer pressure are very powerful forces.