That's... absolutely not what I said, or implied. Access to all of that is the boundary between the layers. People in layer n will make sure people in layer n-1

That's... absolutely not what I said, or implied. Access to all of that is the boundary between the layers. People in layer n will make sure people in layer n-1 are missing at least one thing so they can't compete on equal footing. People in layer n+1 will do the same to people in layer n. If you don't have access to schooling and someone else does then that's something that will make you always start with a handicap when competing with them. The boundary, whether education or medical services, is there so one layer feels safe from the inferior one. People want it there even if this means they start off with a handicap compared to the superior layer. Most people are more afraid of losing what they have than they are keen on winning something they don't already have.