The comment that Stockton was only an average shooter is ridiculous. He was one of the all time shooters. He was an average "scorer" simply for the fact he passed up so many shots as he was always looking to pass. In fact as an old man who watched countless players he is the only top player that I thought should have shot the ball more. He understood the game as well as anyone who ever played. Magic and Rondo can make more "special" plays and Isiah could score more but no one was as consistent as Stockton. If he had any weaknesses he was only a very good defender, not a great one. (neither was Magic nor Isiah as they had someone else take the toughest guard). And he didn't take over games because he was unwilling to become a big scorer. Let me put it this way-stockton could make his teammates look better than anyone other than possibly Magic.
Stockton was a five-time All-Defense 2nd team player, in an era where the competition included Jordan, Payton, Dumars, Blaylock etc.
He is also 6th all-time in steals per game. That has limitations (Iverson is 7th), but it is what it is. For you advanced metrics fans, he finished in the top 10 in defensive win shares 4 times. The league included some pretty good defenders at the time (Olajuwon, Rpbinson, Pippen, Jordan, Ewing, Rodman, Payton...etc.)
He was an excellent defender.
And I'll second the claim that he was an outstanding shooter. He was in the top 10 in shooting percentage 6 times. For comparison, in the 27 years since Stockton's first in the league, a guard has been in the top 10 a total of 6 other times.
Stockton has more top 10 finishes than every other guard in the league combined over that period. Tony Parker has finished in the top 10 once. Nash, once.