Homeschooling and un-schooling are actually quite varied. Un-schooling, specifically, is usually very specialized. Take Erik Demaine, for instance. He is the youngest professor in MIT's history - he was un-schooled until he entered college at 12. He specialized in mathematics because he loved it.
Homeschooling is still regulated by the state. Students must still pass certain tests, and often homeschoolers have a community of parents and children who get together to learn with each other at educational events geared specifically to their education. Both models have evolved, though they still have some cons. So, too, do public and private schools. Personally, I'd like to see us picking the best parts of various educational systems and putting them together.
Homeschooling is still regulated by the state. Students must still pass certain tests, and often homeschoolers have a community of parents and children who get together to learn with each other at educational events geared specifically to their education. Both models have evolved, though they still have some cons. So, too, do public and private schools. Personally, I'd like to see us picking the best parts of various educational systems and putting them together.