Casdon, what no one ever comments about in the Finish system is that, as a large country with a small and scattered population, all their schools are relatively small and community based and I frequently think that where a school is embedded in the community and all the teachers will know most of the children and the children will know almost every other pupil, it must contribute as much to high educational outcomes as banning private education.
DH and I were both state educated as are our grandchildren. We privately educated our children in the 1980s firstly, because DH's employer wanted to relocate DH to one of their overseas offices, and we wanted to keep our children in the English educational sytem. Secondly because all our son's teachers in his state primary school advised us to take him out of the state system and send him to a private school, because they feared that despite being very bright, and generally friendly and liked, he was quite quiet and as we now know is neuro diverse, having both dyspraxia and ADD, the danger was that in a large school, he would withdraw into himself and sink without trace.
We sent him to a small private school, where class sizes were similar to state school classes, and facilities were not outstandingly better, but the school only had two streams and the effect was like that I describe in the Finnish school system, the relative small size of the school meant that teachers and pupils all knew each other and the community feel was strong. When there were problems, and few children do not have problems at some time, those involved in dealing with it knew the child and their personality and solutions were very individually child sensitive. As a result pupils flourished.