Did you just coin that? It appropriately captures what is going on, but without having the positive connotation that comes from a 'walled garden'. I love the phrase.
As an example outside of messaging, I have a fitbit and 'digital prison' so aptly describes what happens with my personal health data. I can't get my heart rate data out of their prison, because the fitbit warden doesn't see it fit to grant me the privilege to access my raw data.