Further, there is a practical dilemma. The Reds are not a team with a .770 OPS, it has a .720 OPS and a low team BA. If the team simply adds power, it may lose OBP. Most power hitters are not Adam Dunn. And if a team simply adds walks, it may have a relatively minor impact on runs.
The beauty of BA is that, for most hitters, higher BA will lead to increases in the other departments as well.
There is a cause/effect interdependence with all these stats. In a computerized world, perhaps you can just increase the OPS components and leave it at that. In the real world, it's harder to get the OPS if you don't have the BA.