An understanding of what the evidence does and does not show might help.
Homeschooling is likely to vary considerably based on the abilities of the parents and of the materials they choose.
The point of regulation would be to address the lower end of the spectrum where outcomes are felt to be unacceptably poor.
But these statistics tell us very little about that. The fact that they only look at homeschooled students that make it to college means that they aren't even counting the underperformers. Even the other statistics on the page only deal with averages rather than looking specifically at the bottom end where the need for regulation - if there is one - would be found.