While I have absolutely no mathematic proof to back this up I expect that game shape effects all stats.I believe it actually changes the skill values used to calculate the outcome of a game. So a player with 12 rebounding might play as if he has 10 rebounding with mediocre or worse game shape, maybe 13 with proficient game shape.
I've only come to that conclusion based on what I've seen from my own team and the opponents I play against; my players seem to get better at everything as the season progresses and their game shape gets better, both offensively and defensively. My point guards get less turnovers, my bigs block more shots and my shooters seem to take less 20-foot 2 point attempts with 16 seconds left on the shot. Obviously it's not a massive difference, but I have a suspicion game shape affect all stats with the exception of free throws and stamina.
I'd love to do an actual study but I don't have the time to do it right now, with the University course I'm doing. But all's I know is better game shape means better results for your team!