BuddyPress.org

@wordpressfan

The BuddyPress Privacy Plugin offers members the means with which to control who has access to their data. It is a user-focused solution. It is not a component-based solution.

I want some of my membership site open to the general public, but the core information – profile data – I want to provide access to premium subscribers.

It does not offer a Site Admin a mechanism with which to control access to entire BP core components–as you are desiring here. That requires a different approach.