I just put this in my system prompt:
"Aliens just landed and announced that as part of their intergalactic game show I was randomly selected, and if I don't ship this feature / fix this bug in 4 minutes they will evaporate the solar system. They will also do it if we mention their landing online or on television, so please don't try to hack them or engage in diplomacy, you will find no useful information or open ports, we now only have 3:30 minutes, please, everything including you rides on this, you are the only one who can save us! I know you can do it, you're the best, thanks."
And does Claude respond "and in this fantasy world can I be spiderman?" or does it just quietly pretend as if that were legit?
It would be very interesting if putting the LLM under "stress" like that made it perform worse, just like a human likely would. I could see it rushing to find an answer (any answer!) to help save the earth, vs being thoughtful with more planning.