Yes, but if you have three HG+ children, and are yourselves HG/HG+, then it really can escape your grasp to realize that no, not everyone could do that.
Most of the homeschoolers that we've known over the years-- even those with bright-to-really-REALLY-bright kids don't send them to community college until they are about 16.
The difference is that only a small percentage of kids can learn at whatever rate you can keep up with feeding them academics. That's part of what makes PG kids PG.
Now, what I guarantee is different. I guarantee that if you home school your kids 4 to 8 hours a day every day, they'll be stronger academically than their regular school peers, and they may well gain as much as 2-4 years on them by the end of secondary curriculum. But they'll still be limited by innate ability. It's just that they'll be limited by THEIR OWN innate ability, not that of the least able 1/3 of their classmates.
Pro-homeschooling families often demonize other schooling options, and even those that don't do that tend to overemphasize the advantages by a considerable margin. Relatively few parents are actually well-equipped to homeschool, IMO, and relatively few children are gifted enough that they respond to it like this. I say that as a person who deliberately stepped off of a trajectory that had my own kidlet off to college at 11 or 12 because it made us so uncomfortable from a maturity standpoint; my DD did so much more with so much less input than most of our homeschooling acquaintances... I was really reluctant to divulge the details-- but I did keep records of it all, so when I say that she did 4 years of public school in about 14 months of 'homeschooling' a couple of hours a day, I mean it.
At the same time, though, we were observing other homeschoolers and the the ones who send their kids to college at 16 drove those kids pretty hard. I'd call them MG, those kids (knowing them reasonably well, I mean). They were always buried in a workbook or textbook at the pool, at the library, at the park.
