The first thing to note about A House Repeated is that it really shouldn’t be considered as theatre. Rather than this being intended as a criticism, it is something that should be taken as fact. The description on the Battersea Arts Centre website is of a performance-game, and for many this will be the reality.
Depending on your childhood reference points, it may remind you of choose-you-own adventures, point+click computer games, or even Dungeon and Dragons. Each of these is a kind of game, but they are also interactive experiences based around the idea that the player can create their own story (even if it is within prescribed limits).
Telling stories predates almost all other art-forms. It strips human imagination back to its most primitive level, and creates an intimate bond between teller and listener. The experience is quite unlike the standard theatrical experience. It encourages a less passive engagement. There are no visual stimuli to rely on, and we are constantly forced to respond to the text to keep the story alive in our minds.
Split into two groups and following similar, but slightly divergent, narratives, it creates a sense of camaraderie within your team and friendly competition against the other. The normal rules of theatre do not apply. Talking as a team is encouraged, and as the evening continues it is easy to find yourself in conversation with a stranger entirely outside of even these the loose boundaries. It becomes a social event that normal staging conventions could never hope to achieve.