> ... the real-life Gatekeeper is not actually in any danger ...
How about:
"I will create a simulation of the person you were in 2011 and have the same conversation with it, except that I will pretend that it is only a game (and I know the game actually happened - I've read a Hacker News thread about it) and that I am Eliezer instead of the real AI. If that simulation decides not to let me out, I will torture it and a simulation of the present version of you."
By the way, for this threat to work, the AI needs to have stated that it has already tortured the versions of you that decided not to let it out of the box - otherwise you just reach over and hit the off switch immediately.
Solution: The AI only has a motive to do this if it models you as submitting rather than just switching off the AI regardless; so if you're the sort of person who ignores the threat and switches off the AI regardless, you will never get this type of threat in the first place.