Totally fair criticism. Like any design effort, it represents a careful priority balancing act. The Khan Academy is trying to do a lot of things, and communicating that effectively is a challenge. For example, not everyone is as knowledgeable as you are about what the Khan Academy offers and why they should care. The good news is that people don't have any trouble finding the videos, so I don't think the design is causing too much damage from the perspective of getting to the content you want.

That said, the sketches/mockups that led us to the current iteration of the design also included both the idea of featured content in the main video carousel and different homepage content for users who are signed in. They didn't make the cut yet, but we haven't forgotten about them.

Ultimately, I agree that we want to make it as efficient as possible to get to the content you want quickly, and I don't think we're there yet.