Progression is your level of skill as you get better at a game (whether it's something simple or its chess). I've had narrative events happen in games that, because they are guided by decisions of other players, I still remember more than actual stories in video games.
The idea is interesting, but at the same cost (or more) as a console, or the cost of a dozen board games, it falls into a space where the market is going to be limited.
I would definitely try this if it was available at a board game cafe, just not something I need for home.