The critical commenters are trying* to become consistent anarchists. But even if they themselves do so, how do they deal with those who do not?
(* A genuinely consistent anarchist would not reproduce in the first place, of course.)
Should I be able to tell you what time to go to bed?
You should not. So if you have a child and do not tell the child when to go to bed, so far so good. But then you hear your neighbour telling their child when to go to bed. Now what? In a stateless society (which is what anarchists want), you would have to intervene personally. But what if your neighbour does not answer the door? Do you keep a battering ram ready for such scenarios? But if everyone has a battering ram, it would also become possible for anyone to enter neighbours' homes for unjustified reasons. No one would feel safe despite having a door. Everyone would then start reinforcing their doors to withstand battering rams. And then everyone would have to keep explosives to overcome the reinforced doors. And so on. Would it therefore not be less absurd to have a state, so you can just call the police instead (or better yet, the state provides alternative food/lodging/etc. for children in the first place)? This is why we are not anarchists. Preventing parental tyranny is most efficiently achieved by the state.
What about those who do not want to live under such a state? They can choose to leave whenever they want, provided their reproductive potential is surgically removed first. Anyone concerned about parental tyranny, even those themselves not intending to reproduce anyway, should agree to this, since they would be aware that without this others would leave and then reproduce and then practice parental tyranny.
Welcome to National Socialism.