There is actually a very strong structural argument for why public goods such as education and health, should be distributed equally: If those in power have to

There is actually a very strong structural argument for why public goods such as education and health, should be distributed equally: If those in power have to use the same system as those they hold power over, then they have a strong incentive and self interest to ensure that those public goods are of a high standard. This is not to say that public goods must be delivered by the state, but rather there should no difference in opportunity of access (such as the Finnish private schools that don't charge tuition).