It is not the fact that they are homeschooling, but the program they chose to use and the way in which they modify it. Many, many homeschoolers get wonderful educations, and I know some who have parents who bring in college professors so that their kids far surpass most of their public school peers. These children are not getting an adequate education because they are using a method that teaches that scientific inquiry is currupting, and no real science is ever included. The program is also very weak in math as nothing beoynd basic algebra is ever addressed. There is no literature program to speak of outside of reading the Bible, because secular literature is corrupting. The program also teaches unquestioning acceptance of everything being taught. There is no room for discussion or critical thinking. You are taught the "right" thing to think and that is it. I know people who were taught under the Gottard program, and they basically had to go back to school with some kind of intensive tutoring for at least a year, most more, before they could succeed in a real college, aka not a bible college geared to graduates of these type programs.
I have comments for the rest of the list as well, but all I am going to say is this: You see it one way, and I see it completely differently, as I have lived it. If you have never lived in that kind of repressive environment, it often looks very attractive from the outside. The children are so well behaved, and look competely normal on the surface, but if you scratch the surface at all you find a child completely bound by fear and intimidation. They are taught to appear as if nothing is wrong so as not to arouse suspicion, I know we were. Believe me, these children exhibit many of the classic behaviors of children that come from a repressive religious background. I seldom watch the show anymore because it huts too much to watch these children. It is obvious to me what is going on with them, and there nothing I can do to fix it. It is too hard to sit and watch and know I can do nothing to help them get out.