Would a sandstorm app prevent you from using say, Google analytics or new relic without getting a users permission?
You as the owner of the Sandstorm instance will control whether the apps on your instance can send data to Google for Google Analytics, for example.
If you invite someone else to use an app on your Sandstorm instance, they will trust _you_ with their data and you can decide whether the apps on your instance share the data with Google or not.