The former tends to replicate school and requires a teacher, usually a parent. It’s basically school with added/paced/altered/enriched curriculum at the cost of socialization, although that can be compensated with other forms of peer groups, especially in urban area. Comparing this method versus school A or school B is pretty much like comparing school A and B as two schools can be as different as any given school and homeschool.
The latter is what John Holt referred to as homeschooling but is based on self-determination theory and has an abundance of science to support it. Neuroscience backs this theory too, I think the rate at which active learning learns is somewhere around x20 faster than passive learning (ie “teaching”). Very serious folks like John Holt, Peter Gray, or Akilah Richards to name a few have dedicated their life work to supporting self-directed education as a superior form of education. What Peter Gray’s research shows shows is that outcomes are basically the same except for life satisfaction and psychological outcomes. In essence, it leads to same rates of secondary education, jobs and socio-economical outcomes, except an unschooled child makes for a much happier adult later on.
Sadly, because the majority of people went through contemporary schooling or some version of it, people’s biases makes people not want to hear this.
I’m not sure what the OP’s circle looks like but I would be surprised if none of those so called “techs pro-homeschooling” are only doing the school at home version without having stumbled upon any of the science around self-directed.