I think what is more important is having bigs that can and not necessarily in this order
1. Alter shots
4. Get into the passing lane effectively with their hands
5. Rotate effectively to give good weak side help
6. Keep the guy they are defending off of their sweet spots which generally lowers his/her FG%
7. Box out effectively
I would rather have a big who is able to take two or three charges a game and do all of the above than someone who can do all of the above and block 2 - 3 shots a game but never or rarely takes a charge.
Shot blockers are notorious for getting into foul trouble and winding up in the popcorn machine with salt and butter all over them when they try and guard someone who is a skilled offensive player.