I hope you're trolling, but in case you're not let me walk you through a series of arguments that should hopefully convince you that allowing homeschooling without a good reason (mostly medical) is a bad idea.

Society must take care and protect the vulnerable people in it. Children are pretty much the most vulnerable group. Therefore, society must take extra care to protect its children.

The best way to ensure someone's safety is to regularly check on them. Thus society must regularly check on every child. This is the most important purpose of a school. This, combined with the fact that the majority of child abuse happens at home, would already be enough to ban homeschooling without a good reason.

In order to continue functioning well, society must consist mostly of socialized people tolerant to each other. Children are the future of any society. Thus society must make sure that children are socialized and tolerant to others. The best way to socialize children is to place them in a group of other people, and the best way to teach children tolerance is to make that group include different ethnicities, cultures, belief systems, and sexualities. This is the second most important purpose of a school.

In order to develop, society needs educated people; and, educated people tend to be better off in their lives. Childhood is the easiest time to teach basic concepts of science and life in general. Thus, society must make sure it educates children. This is the third most important purpose of a school.

Of course, if a parent is not a child abuser and puts in a lot of work, they could substitute school with other ways to ensure their child's safety, socialization, tolerance and education. But it is a lot of work for which most people just don't have the resources, and unfortunately there are a lot of child abusers out there (not necessarily sexual or even physical, but definitely psychological).

If you allow arbitrarily "pulling" children from school, you will just statistically end up with a lot of bigoted uneducated people with child abuse trauma. Which is exactly what's happening in the US.

To answer your question directly: I don't know better than any particular individual parent, but I know there a lot of parents out there which should not be allowed to homeschool. Probably including this lady.

Do you think you know how to raise other people's children better than they do?

A drunken Orangutan would do a better job of raising this woman's kids, she's literally sabotaging their education because she's mad someone made it harder for her to raise little bigots.

Found the Nazi.

Must be looking in a mirror.

Absolutely yes, 100%.