FWIW I think SFUSD changes the public/private math a little: you can live in a 3m house and the neighborhood school for you is 2/10 on great schools or less. I’m not saying this rating scale is perfect but am saying that 2/10 is probably pretty bad. Also FWIW 1/3 of the school age kids in SF go private.
Or lemme put it this way - $1.5 million buys you a single family home with a backyard in outer sunset, but only buys you a townhouse with no backyard in the Tri-Valley, but the family in outer sunset will have to send their kid to a private while the Tri-Valley household kid will attend some of the best public schools in the nation.
The collective "lifestyle creep" where the consumers are competing can cost everyone more while resulting in worse outcomes overall. Almost like reverse capitalism. Instead of producers / sellers competing (on quality and price), there is just so much demand from consumers that they are forced to sacrifice quality while paying a higher price.