To me, it goes like this: If your environment, genes, family, and children are such that your children fall in the category of "students who must attend classes

To me, it goes like this: If your environment, genes, family, and children are such that your children fall in the category of "students who must attend classes class for the benefit of the other students", you should homeschool, period. If the educational system is going to hold your children back for the benefit of the other students, you should get them out. However, if that's not the case, then I would leave them in a more traditional school system. That's arguably a pretty selfish way to evaluate things, but speaking as a K-12 homeschooled student, I think it's the best way to make the most of the options in front of you.