I honestly can't vote, because I think the parenting style varies with the child.
Look at Lee. If the Anthony's were permissive indulgent or permissive indifferent, then Lee would have turned out differently. He honestly seems like he turned out pretty well, all things considering.
I think this is 50/50. People would tend to blame Cindy, but I think, from all appearances, she's Ms. Rules and Regulations. Girls, growing up, tend to be "daddy's girls". What are the odds that Casey preyed on that "Daddy's little girl" mentality and got HIM to overrule Cindy's attempts at laying down the law? That's how I saw it. Cindy played Authoritarian with Lee and it worked, because he was brought up to be "a man". Cindy tried the same carp with Casey, but maybe Casey would then go to Dad and he'd give in? And Cindy then just got tired of the game and figured, "Whatever" but was always left cleaning up the mess. She just defends Casey's actions to preserve the image she likes to project.
In my opinion, anyhoo.