Your description is dead on. And it's absolutely dystopian, especially for anyone who falls outside of the specific caste described.
But I find it odd that you wouldn't think there's something wrong with it. Essentially large swaths of the population are locked out. That is a huge problem.
But I find it odd that you wouldn't think there's something wrong with it. Essentially large swaths of the population are locked out. That is a huge problem.