Quoting from the post, gratuitously, with minor modifications.
Like the AI-Box,the show is improvised drama (so is most of reality tv), the show operates on an emotional level as well as a logical level. It has characters, not just plot. The contestants cannot force others to keep them in the home. The could try to engender sympathy or compassion or fear or hatred or try to find and exploit some weakness, some fatal flaw in the other contestants.
Since the post is ultimately about 'transhuman artificial intelligence', focussing on the 'relativity' of the intelligence of the contestants, the show ultimately rewards the contestant with the most intelligence required to survive in the artificial environment.
The contestant only needs to convince others of their right to stay in he house while requiring others to leave.
The AI requires just the opposite of the gate keeper. This is specific to the environment set up in the experiment, and the experiment could probably be set up to let have the gate keepers primary function be to prevent the AI from entering the box'.
The escape from the box has been set up to exercise human fear of a being of greater intelligence exploiting us.