As I understand it, that would violate the rules, and it would be appealing to the utility of the person playing the Gatekeeper, rather than the Gatekeeper. If there were actually an AI trying to get out, telling the Gatekeeper "You're actually just pretending to be a Gatekeeper in an experiment to see whether an AI can get out of a box, and if the result of the test shows that the AI can get out, that will increase research funding" would probably not be effective.