I simply don't have the time to either read or thoroughly and intelligently respond to this article now. I read the first couple of paragraphs and flipped through the rest. I agree that the public doesn't want to pay for invisible results, but in the next paragraph the author of this paper talks about the percentage of people opting for private schools. Most private schools aren't wedded to research any more than public schools, but people put their kids there anyway.
Different people seek out different private schools for different reasons.
There is no uniformity among private schools. Every morning I meet my class. I have a set of goals and objectives that I wish the class to meet that day. Sometimes the best thing to do is to can the whole lesson and take the kids outside for a half an hour or so. In the meantime, I have to teach my kids the best that I know how.