Not intentional, just the inevitable effect of a monopoly. (of course, it might be intentional, if PTB understand the consequences of monopoly.)
I think in some cases monopolies can lead to acceptable results. Finland does pretty well on some tests, though those test can also be questioned. And it's system is pretty much monopoly.
Still, I think it more as should every person has right for education?
It's not a right, nor a privilege. It's impossible for life to exist without it. You do not live if you are not educated. The simple act of being alive means you will learn. Ignoring government, ignoring all social constructs ever to exist, ignoring the limitations of language and culture, the most basic human being will do the following: eat, drink, procreate, sleep, and above all, learn how to make these things happen to ensure his own survival. Once basic survival is out of the way, people do this strange thing where they continue to learn, even though they don't actually have to. When you give someone everything they need to survive, they do nothing but attempt to learn and create. I don't personally know why; I don't study the human mind. But there is never a regular human being who does not desire this.
So the question isn't whether people have a right to education. It's that people will be educated, and if nothing else, they will educate themselves (both Edison and B. Franklin dropped out, one after three months, the other after two years.) All that school attempts to do is get a human being up to speed with what has already been invented, what science has already locked into common understanding. If an alien race were to land on this planet (completely out there but stay with me,) they would understand many of the things we currently understand, but with one exception: they'll have their own interpretation of it all. There will be understandings of physics, but they will have their own way of describing it. It would be as if an invisible country who has had no interaction with any other nation on the planet were to invent a society in which was similar to ours; they'd have their own ways to explain the same phenomenon we experience, but it would all be just that: the same thing. Someone, somewhere, has to figure it out, before the schools can teach it. No school can ever teach science: they can only teach modern science, what we readily understand and are striving to accomplish.
Why, then, is it so hard to accomplish this? Is it because the more information required to pass down, the harder it is to learn it all? Children have no idea why they're being fed knowledge. They just don't understand, not until you've already drilled into their heads that they have to get it, they have no choice but to get it, which is what the American public school system does, and why I disagree with its methods. Adults are coming out of high school remembering nothing they were supposed to learn, because they weren't learning, they were just putting up with something they didn't understand why they had to attend until it was time to go, and if they go directly to work, long hours, little pay, it's all over. They tend not to care for learning. Sad but true: colleges today around the world are marketing themselves as ways to better the worker. This isn't why colleges exist, but it's why they exist now. Colleges once existed for the pursuit of knowledge, and therefor the pursuit of happiness. This isn't the case, anymore. We're going backwards. Education by force is not education, it's a travesty, and at best, a daycare, or a rehabilitation prison to indoctrinate new American citizens--however you want to view it.