I can't think of anything worse than being unable to learn effectively without a teacher.
I really value my kids' skills in self teaching. If they want to know something they work out what they need to know, who they need to ask, how to approach them, how to phrase the question, how much help to ask for, in some cases how to barter for help.
Learning how to learn, and giving them the basic skills to access information (reading, numeracy/stats, basic understanding of stuff like experimental design, bias etc, social skills to enable them to charm people into mentoring them) is pretty much all I specifically feel my kids need to know.
I can't imagine a child not wanting to know everything about everything, tbh. That is just what kids do, they are insatiably curious about everything. We have to tell our kids to put their books away and go to bed and I do not think that this is an unusual HEing experience.
The trouble with these debates, while they serve a useful purpose, is that what anti-HErs are telling us our lives look like just isn't what our lives do look like, so it all gets very peculiar.