That movement is soley about children. It isn't a religion.
There are many folks who feel that these type of shows are "support". In reality it is a job just like anything else.
Quiverfull is mute on the subject of hairspray and television contracts.
And they aren't raising nuns, so no need for the full habit.
The cameras only came at Baby 14 in about 2004. Prior to that, there was no TLC or Discovery Health in their lives. Since they've had kids over the course of 20 years, that's just a small fraction of their lives.
Also--once again, it isn't a religion but more a way of life. It is a cross-religion type of thing as many different faiths have folks who follow that. It's based on one scripture in the Bible.
The wikipedia article has some interesting opposing viewpoints that you might enjoy. I found them to be interesting as they referred to good stewardship in being anti-quiverfull.