I don't think games are a good tool for educating adults about new concepts, they are time-consuming and distracting. You could use them to teach kids, but why would you want to teach kids about Bitcoin in the first place, it's not like they will be using it till they grow up.
Adults play games to relax and have fun, and educational games generally have poor gameplay, so I can't imagine such game being popular.
Too negative. Why do we play games? To relax and have fun, right? It is as what you have said. That's why we are putting something on games, not only for fun, but also for education. Games are very effective when we want people to experience and understand something. Because it requires simulation, cooperation of the player, and in that way, not only they have engaged themselves in the game, they also learned something from bitcoin.
If we will not do something to spread bitcoin, then there will be no way it will be used by many people.