They do around here. They are the children that excel. The local school can't compare to the charters. I have 2 of my children attending one an hope to have the other two in very soon. The waiting lists at all of the charters are extremely long. Thankfully there's sibling priority when there's an opening.
As for private... One of the best in the world isn't far from me.
portland waldorf school
Well of COURSE charter schools do better.
They get to pick and choose what kids attend that school.