Your concept of the relationship between value and hierarchies is something often ignored by champions of fairness. To quote Scott Adams, “Fairness is a child’s argument.” What parent has not had to tell their children that life isn’t fair?
If you need heart surgery do you want a top of the hierarchy surgeon or the luck of the draw surgeon from an egalitarian pool? Yes, as you mention hierarchies can have their flaws, but the world would really suck without a concept of the value of value.
Given a choice between a world where people think everyone is equal in ability and one where people acknowledge inequality and use that to have the best people doing things, the choice should be obvious.
It is ironic that the system that proclaims equality when implemented, communism, historically has the most traffic outcomes.