That's the wrong analogy. The camera isn't some "security footage" in a random store, it's security footage from my own living room.
A better analogy is this: if i install a video camera in my home and pay a service to store and process that data (think nest cam), but that i'm paying monthly for, then that data should be mine. Stuff going on in my living room (aka my music listening habits) should be mine and i should have access to my habits and restrict others from using it if i want to.
Update: more importantly, without having access to data stored by any service, i can't make an informed decision as to whether the service is storing dubious information about myself that it shouldn't. Services can no longer hide the data they store about people.
A better analogy is this: if i install a video camera in my home and pay a service to store and process that data (think nest cam), but that i'm paying monthly for, then that data should be mine. Stuff going on in my living room (aka my music listening habits) should be mine and i should have access to my habits and restrict others from using it if i want to.
Update: more importantly, without having access to data stored by any service, i can't make an informed decision as to whether the service is storing dubious information about myself that it shouldn't. Services can no longer hide the data they store about people.