Actually, the pedagogy of his videos is the thing that the opposite of "broken". Khan has an excellent teaching style, and gets his points across rather well. So calling it "pedagogically broken" is completely ridiculous. If you had said it was "productionally broken" you might have an argument (although, I'm not sure "productionally" is really a word :-D ).

Khan could indeed use fancier tools to produce his short videos, but what really makes them valuable is the content. I don't see that the current presentation style detracts from the teaching value one bit.