Good for her. I just hope people aren't like, "Oh, those crazy religious Duggar people have homebirths, so obviously it's nothing I would want to do."
For people who aren't as up on the politics and policies of the current obstetric system, it's easy to think that hospital birthing with all the drugs is the pro-woman, feminist way to do things, y'know? Like that one commentator talks about in the Business of Being Born, many of the early feminists were all about hospital births, because the Bible says that childbirth pains are the curse of Eve, but they were modern women who didn't have to subscribe to that kind of patriarchal belief.
I think I probably felt that way for a long time, and ten years ago, if I heard about Anna Duggar having an unmedicated homebirth, I would have thought it was some sort of oppressive patriarchal thing.
Now, of course, after hundreds of hours of research, I find homebirth for low-risk pregnancies to be incredibly empowering, and the hospital system to be incredibly disempowering (I mean overall, in general).