I know that authoritarian is a lib-brained anti-communist term that one shouldn't use unironically. But what other term would you use to describe those who seems to have a love for the exercise of state violence and coercion for its own sake? The howling hogs who cheer when police beat up protesters, the psychos calling for refugees to be gunned down at the border, the monsters who revel in the misery of the poor and love to step on those who cannot defend themselves.
You could call them rightists or conservatives or something like that but that doesn't carry the appropriate stigma or convey the wickedness of their proclivities. You could also call them fascists which would be correct most of the time but it is too broad a term to center in on their specifically sadistic relationship with state power. It also plays into the liberal idea of fascism being defined by "fascist methods" instead of by fascist ideology and belies the existence of the well-mannered and polite fascists who are the most dangerous kind.
Baumrind is a developmental psychologist who is still taught in education programs and coined three types of parenting styles: authoritarian, authoritative, and permissive. A fourth one was later added (neglectful) to differentiate between permissive parents who are emotionally available to their kids and those who aren’t. Children thrive within environments where they have the structure of rules but are still able to have their emotional needs met instead of repressing them. This is one of the main reasons why parenting is a justified hierarchy imo. I would love to see more parenting collectives to help provide parents with the resources and techniques by connecting them with social workers, educators, and each other. Of course, under capitalism these would be largely dominated by middle class white women. But I think they would still do some good