First things first, the stats are only as reliable as the scorekeeper. As a coach, if you are going to rely on stats to make game/lineup decisions, you have to train your book keeper to make sure they are keeping the records properly. Especially if you are having a mom or dad that sit outside of the dugout keeping the book.
As far as utilization of the stats go, I think they can be very useful. #1 is the ability to justify why little Suzy is sitting the bench on Sunday when her parents start complaining. Many parents, which I have been guilty of as well, tend to hang on to that ONE hit their DD had on Saturday and forget about the 3 strikeouts and 2 groundouts. Or that she had dropped two flyballs in the outfield.
#2, stats are very important for making your lineup. You can't possibly remember how every girl hit or played every game.
#3, as the girls get order, I think it is extremely helpful to show the girls how they are doing compared to the team averages. If the team avg. is .485 and your DD is only batting .310, then she knows she better start working a little harder.
Anyway, just my two cents.