Enshrined in the best local schools is the idea that they are approachable. Parents and the local community should feel that they can go and talk to their schools if they have something to say. Physical proximity encourages psychological closeness with the community.
This is one of the reasons why I feel passionately that my son should attend his local secondary school; the staff there are approachable and ready to discuss things, even things they might not want to hear. In the Academies, Faith schools, and Federated Schools I've visited I've noticed a "wall"; there's very much the attitude of "we know best" and that they would prefer not to hear your ideas. This is because they are not primarily local schools, answerable to their local communities, but instead are answerable to their sponsors/partners/religion.