As a parent who homeschooled for 25 years and still know thousands of homeschoolers, your observations are exactly wrong.
No parent who subjects their children to public schools loves them.
As is easily observable, (see Baltimore schools with zero kids proficient in math and reading) the system is guaranteed to fail most kids.
Of course there are loser homeschoolers but they are complete outliers.
Thank you-I totally agree with you...