The problem with home schooling is that it is a solution for the rich and leaves all of the poor kids behind.
Regardless of income, the key factor seems to be the rationale. If parents want to homeschool because they're involved with their kids' lives and want them to succeed, they'll do well relative to the available public school options.
Just like high earners like LeBron James are not allowed to WFH and have long commutes.
It just depends on the nature of the work.