This reminds me of things that I've read about intelligence agencies increasingly finding it impossible to give agents fake identities for cover; everyone now has just left too much of a trail of data behind them. And if you find or create someone with no such trail, that stands out as being suspicious.
As an aside, this is a paradox that has fascinated me for a while. Potentially any step that we take to be more private or anonymous makes us stand out more, thus easier to track and re-identify, because we end up in a smaller crowd (i.e. anonymity set).