Congrats, you done well. My two who are semi-adults (lol) are in or studying their desired fields too. I believe they are the best “them” they could be. No peer group or weird ass teachers made them fit any mold. (Most teachers are wonderful but some are not)
HSing is certainly helpful for gifted children but every one of the 1.8 million or so attendant children won't ipso facto become 4.0 average Rhodes Scholars. There are probably more smart HSed kids than otherwise, but HSing isn't a panacea. Indeed, as others here have said it requires dedication and ninja-like organizational skills....and unity helps. I could never do the job Mrs DoodleBob has done with the little DoodleBobs, and she certainly shouldered the burden, but when family or friends voiced criticism, we both went medieval on the opposition.
It doesn't matter if you HS because you don't want the state standing in loco parentis or you believe you can teach your child better or your gifted child won't flourish or you fear for their safety and morals. HSing is largely about parents wanting to give their children the best shot at becoming the best “them” they could be (that's a keeper, Yaelle!), whether that's a rocket scientist, sanitation worker, seamstress, landscaper, banker, lawyer, artist, musician, tradesman, economist, or haberdasher.
/ rant.