Not even just by the authorities. This sounds like the wet dream of Google itself or any other data mining companies. You can just ship the most sensitive data around and extract signals to your hearts content - and even if it would be protected by law, you're good because hey, it's always encrypted, and the signals, ad assignments and profile markers are encrypted too!
This is what I don't like about all this "I'm not touching you" privacy tech, also including the new trend of nonvoluntary on-device processing.
They pretend "privacy" was a primary goal of it's own, completely detached from any reasons why you would want to have it.
They then go on gloriously holding up the flag of privacy, while at the same time enabling all the things that you wanted to have privacy against in the first place.