Except I would note that of the MANY home schooling families that I know, oodles here (in the South) have had real difficulty getting their children into the better schools.
Of the 5 most successful home school families in our parish, who have exceptional children, really exceptional, none could get accepted into the better schools They are going to really less than average hometown Universities and feeling very dejected and not real optimistic that their plight will get better anytime soon. And of course, they also have many kids.
The whole Home School philosophy/credibility has to be accepted in this country, and it’s apparently not at the upper levels. We all watch the National Spelling Bee and hear the tales of amazingly gifted home schooled children which makes this more and more desirable to parents.
But at the end of it all, the top schools are not exactly swayed. I know one family who used Seton (which is a pretty rigorous and fine curriculum) and only 2 Universities at all would accept their sons, and they expected a lot of repeat coursework first.
Just throwing that out there.
One family even resorted to Crowd Funding for their son, and posted a long diatribe about how the “System had failed their son”.
Which prompted possible donors to say "how so? You never gave “the system” a chance? " They filed to raise enough$$$ for his next semester even. They’re good people. The kid is SMART.

It’s sad.
It’s wonderful to hear the success stories and I’m sure people have stats for that. But I’m also sure people hear the sad stories of truly gifted and promising kids that don’t get to attend the top level schools.