You can thank Metal Gear Solid 3 for introducing me to Starsailor.
The question now becomes, "What issues arise with this form of data collection as opposed to a survey?" For starters, it's far more complicated to put together. Secondly, you need to make sure that the game is easily understood and controlled by the players. Point-and-click adventures and text-based RPGs may be the most approachable forms. Third, you need to make sure that the players aren't necessarily concerned about the ending. You don't want people trying to game for the best outcome, you want them to play the game for their natural reaction to the events at hand.
I think it's a very interesting potential field of study and type of research tool to study people. I wouldn't mind pioneering the format, personally. Shame I already have a job and other things to do. Speaking of which, I'm tired, and I'm going to go to sleep. I've had a headache all day and have a full day ahead of me.