I'm not so sure about this. My Center has tremendous ID and only respectable SB, but he averages a little over 3 BPG. However, his OD is pitiful, so ultimately, where he gets his blocks is not against other Big Men, but against Guards who try to shoot over him.
Indeed, I have the feeling that high shot blocking can offset low OD for Cs and, to some extent, PFs. It is easier to train, and while it won't help to get steals, it might be good enough to decrease the FG% of opposing guards by a noticeable amount.
I agree that matchups, tactics, and the skill level of the opponents all contribute to the final stat line though.