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.
I think that for some users, the applications they run and the frequency they run them at would be enough to identify them across time and accounts. I could change my identifier, even my name, but at the end of the day, I've been using the same apps for at least a decade more or less.