Considering private schools cost tens of thousands of dollars and get to choose who they admit, as good (in reading) and worse (in math) than schools with similar demographics seems pretty damning, doesn't it?
Damning for who? Education is just one reason parents choose public schools for their children. Depending on the school (eg. Catholic schools) it may be the last thing they care about. Also you should look at the cost per pupil for public schools. It is very high in many states, with the average being $18,000 per student in 2021.[0]