I don't know about you, but hashes of the binaries I run don't exactly reveal any sensitive personal information about me. That said, obviously they should have much more graceful degradation in place for when something is wrong with the service.
In this case, isn't the hash of the binary consistent across all devices, so Apples can in fact derive exactly which binary you're running (assuming they have a large database of application binary and hashes)?
Its what apps you’ve got, exactly when and how often you use them, and where you are at those times via network info. Casual gay pickup app, last night in a coffee shop in the red light district, while your wife thought you were at the office working late for example.