Sorry, I'm too tired to continue this bullshit conversation in a different tone, so here's a somewhat angry rant.
EGreg said "provably not able to access your information", which means that there's a proof of some kind. What the fuck does "prove it to yourself" in your comment mean? That I'm now responsible for writing the security proof? That you acknowledge that no such proof exists, but I can write it myself?
Oh, you probably didn't mean "prove", you meant "ensure", as in I can ensure that the traffic between Mega and my browser is encrypted. What does this say about security? Absolutely fucking nothing!
It's a known fact that Mega is NOT secure. Even if you store your key locally, and they don't know it today, they can do the fuck they want with their web pages: next time you login, they can send you a piece of JavaScript to decrypt everything, or read your key, or... just do anything! If you're looking for an example, this happened with HushMail (http://en.wikipedia.org/wiki/Hushmail).
Anyway, I didn't really mean to ask for a proof, because I know that there's no security proof that "Mega, LastPass and others" are not able to access my information, I was looking for a way to encourage EGreg to do some research and declare that he was wrong, because his claims are fucking dangerous. I certainly didn't expect replies like yours.