It seemed pretty obvious to me that the author was referring to one particular version (christofascist) of homeschooling.

For positive experiences with homeschooling, Astra Taylor's essays on it come to mind https://popularresistance.org/the-unschooled-life-astra-tayl..., https://nplusonemag.com/issue-13/essays/unschooling/.

It seems to me however, from armchair reasoning, lacking any motivation to research this further, that the former version would dominate and be the more public version of homeschooling, given that it co-opts into a popular American agenda with a focused message and mission.