Ok, so your main beef with the lottery system is the anonymity of the randomly selected lawmakers? Well, if you don't know who they are, neither do the lobbyists. You still have Berlusconi/Putin-style influence-by-media, but that's not any different from what you have now.
My beef isn't with the anonymity, my beef is with the supposed objectiveness of the educators they use to give the randomly selected lawmakers the knowledge they need to decide. Those are the people to lobby, those are the people to buy, but they are hidden from the rest of the population. The only way to keep them honest would be to make every bit of information they give to the lawmakers public and freely available, so we can be sure the lawmakers aren't being manipulated. That runs into the same problems the delegate democracy has too: you can't make everything public in a state that still has foreign affairs.
My understanding is that only few representatives get close to state secrets, and they get them all from the executive branch (eg, the Intelligence Committee is relying on whatever the country's intelligence services deigns to tell them). Don't see why it should be different with randomly-selected lawmakers.
