Stats are proof and facts.
Doesn't tell the story though. Lets say Brandon Jennings shoots 7-20 right? Let's say that he took 2 whole court shots at the end of quarters. Are you really gonna hold those 2 shots against his effectiveness and his talent? Let's also say he took a shot at the end of a shot clock that his teammate placed him in a horrible possession and he was forced to catch and fire. A miss goes to Jennings, but the fault actually goes on the guy who passed it to him. Lets also say that he got fouled on one of those shots but the ref didn't make the call. Talent never made the refs blow the whistle, he's just fu*ked into a miss at that point. Take those 4 misses off and he's 7-16 which is pretty respectable. coming from 7-20 which isn't good. Stats tell the truth, yes he took those shots, but anybody with eyes won't hold those misses against him.
What about hitting a guy for an open shot but he doesn't make it? What about him getting fouled and still getting the point? What about when a player hits an open player and he makes the extra pass to a guy who scores? No a.ssists are credited but those were still plays made by that player. So again stats don't show that.
I watched Kobe, World Peace, and Blake do a damn good job in boxing out the bigs in games 2 and 3 of the Thunder series. They didn't get many of those rebounds, but hitting that guy so he doesn't fly down the lane and jam it in off the rim was HUGE. You don't get any statistical credit for that.
LeBron in that huge game he had in game 4. He grabbed the very last rebound of the game. Players were already walking off of the court, and he picks the ball up and the buzzer sounds a half second after. Yea he got that rebound, but did it have any impact on the game in the slightest? No. That gave him the exact stat line as Baylor. What if the buzzer would have sounded prior to picking up the ball? Would that make LeBron's game not as good as Baylor's since he had one less rebound?
I can go on and on man. Stats don't nearly begin to tell the story of a basketball game, a players talents, etc. That's why coaches have guys keep track of things as simple as, how many times did a player box out, or set a screen. That stuff is a major piece in putting together a championship team but goes un-glorified in statistical value.