There is a third group which is, "If I leave my kid in regular school they will probably suicide."
Example one: Friend of mine has a kid with some strange behaviours, and some problems with aggression control. The other teenagers at the school constantly tease him, bait him, and make his life miserable. The school has given up on trying to stop this.
Example two: Another friend who's thirteen year old daughter was sexually assaulted (not at school), and as a result has virtually become a shut-in. Distance education is the only option at the moment.
Example three: My own daughter has some pretty severe anxiety issues and we ended up with school refusal for two years. She just could not cope. She can do the academics, she could not deal with everything else around interacting with other people, chaotic environments, unexpected change and such. We persevered and with a lot of leaning on mental health services, and a wonderful and accommodating staff at the school, we've managed to get our daughter back into school, which ultimately is best for her in the long run.
All these in Victoria, Australia - same place as the article.
The two groups you mentioned have their motivations rooted in some sort of hubris. I wonder how small their percentage is compared to the group who are just struggling to keep their kids alive and in some semblance of happiness.