I think it 's also tactics dependant. If you play LI or LP, It seems to me that the Center are at the end of the chain. And will most of the time take the shot instead of looking for a pass.
I think it's more likely that if it's an inside offense and the center receives the ball with good chances to score, he'll put up the shot. Otherwise, he may then look to pass - and if he has good passing, maybe he can hit the PF or a driving guard, while if he has poor passing he figures he's out of options and jacks up the shot anyhow.
I wonder vs which skill the Center PS is checked. If it is checked vs the other C OD, there could be a better reason to pass tha nchecking your C IS vs the other C ID. If your PS is checked vs the defender ID, it would most of the time be a worst option that taking the shoot IS vs ID..
It's checked vs. the OD. That's why even 7 passing for most centers is quite effective enough already - not too many people are defending these with centers with 7+ OD.