Life situations based on the opposite opinion have so far been unenviable to live in. Your poll is good example of why many people (not me) feel ancaps secretly just want to traffic children.
Slavery violates the NAP so IDK how an ancap would argue human trafficking is acceptable.
Selling, renting, or enslaving ones child can, in a certain system, not only not violate the NAP it can all be done "legaly". Slavery violating the NAP inherits a huge host of assumptions about morality and self- or mutual interest, that are derived from religious and non-anarchic civilizations. Nothing about the covid saga inspires me to believe for an instant this species is mature enough to behave without a strong hand. Good luck if you do, i don't see the evidence.