Like your question rightly pointed out; _*differences between public and private schools differ among countries.*_
Let me use my home country (Nigeria) as a case study.
Education till early 2000s (2006) were majorly the businesses of public sector (federal and state governments). The government at state and federal level controlled most of the education sectors (Primary, Secondary and Tertiary education) in the country.
Government;
- employed Qualified teachers that have Academic and Background knowledge in all subjects areas.
-The teachers were fairly paid and taken care of.
- Teaching and learning facilities were fairly provided by government and are readily accessible by both teachers and students.
- The teachers were so committed to their jobs and gave their best in turning graduates that are currently exhibiting leadership in their field of specialty in all part of the world.
Then private schools were just where parents send their children for extra moral class. Where parents pay for their children to be given extra lessons in subjects they feel their children are struggling to learn.
In public schools in Nigeria then, Government at both state and federal level subsidized education for parents to enable their children have quality education especially at primary and secondary. Teachers were paid regularly and as at when due.
But the big question is, what is the state of private and public schools in Nigeria?
Teachers employed by state public primary and secondary Schools are lavishing in hunger and poverty due to non payment of their monthly salaries ( eg in Abia State in Nigeria, from 2007 -2023, public primary and secondary Schools were owed more than outstanding salary arrears of 18 month by the administrations of past two governor's of the state). The situation is not far from other states in Nigeria. This has led teachers to not going to school to teach in most public primary and secondary Schools in Nigeria, as they seek for means of surviving the hash economic condition in the country
In Nigeria today, private schools now dominate all sectors of education;
- They employ teachers without giving adequate consideration to the teacher's qualifications.
- They pay these teachers little or nothing
- a teacher with a qualification in a particular subject will be assigned to teach 2-3 other subjects that they are not specialist in
- school fees in these private schools are beyond the financial capabilities of most parents
- the school environments of most of the private schools are too small that children don't have spaces for recreation.
and many more
Today, in Nigeria my home country, parents are left with little or no option than patronizing the private schools due to the bad state of public schools in Nigeria today.