Thanks for the ping.
The other thread about this case had links showing that the family in question has a long history with the Department of Family & Childrens' Services, with allegations of abuse as well as sexual abuse of the little girls by a family friend who is still in the picture.
That said, it looks as though the court was worried about a lack of an external support system for these children in case of abuse, and has tarred all homeschoolers with the same brush.