So right before our eyes we have seen very recently the perception shift of homeschooling, which was for decades considered even more “elite” than catholic or private schools. To 2023 where anyone who dares homeschooling is “a religious nut”, “depriving their children of a real education”, and on an on. As homeschooling became more prevalent with conservatives it became less of a “gold standard” in education to an “Alex Jones Q anon indoctrination camp”.
Semi related: this all came about because I’m watching old South Park and season 3 episode 12 showed perfectly how “homeschooling” kids were perceived, all intellectual and no social skills.
I have never seen homeschooling being described as "elite", unless you're referring to private tutors, which are most assuredly not what most people think of when they think "homeschooling", they think of the mom teaching the kid (and they're right), and/or using online classes.