The reason why I say that statistical tracking is the most important feature of a cricket game is that it gives the game meaning and purpose. You want to keep playing it; the game is now dynamic and changing for you.
What makes sport special for me is the *story*. Rivalries, underdogs performing above their station, human achievement. It's a really hard thing to reflect in a game (yet the "fist-pumping" thread shows it can happen!).
Stats could well be a way to help get this over: good thoughts.