It just occurred to me that children, by nature, have some mastery over their parents.
The parents gave to sacrifice their time, substance and energy to raise and support their offspring in a selfless manner if the child will survive and thrive.
Satanism is antithetical to family, as mastery over thyself is paramount, it is the ultimate selfish attitude. This is why they hate family and hate children, because it is God's plan to perpetuate humanity, which Lucifer is opposed to.