As a trivial example, Angela Merkel is/was well-known for making pretty good jokes with journalists when off-the-record. Any journalist who let that part of her personality shine through, wasn't invited again.
Thus the media portrayal, and most interviews with and speeches by her are much drier.
(For a personal example, if you train on my work emails, you get a different personality than if you train on my text message, and that's still different from training on how I talk with my mouth all day.)
Certainly that doesn't help 're-imagine' someone as unique as Angela Merkel, but if her Google searches were known, maybe her humourous personality would shine through if they were combined with traits common to Germans born in the 50s? Maybe someone asking questions to a digital ghost would also have to specify whether they want to speak with Angela the person (limited information) vs. Angela the politician (lots of information)?
Much of what I've discovered and correlated on the people I'm researching would have remained undiscovered unless someone had the time to sift through literally thousands of physical journals as opposed to a month of Archive.org queries on my part. The digitization and open access to old books uncovered new connections and information. It's fascinating!
Really silly example, perhaps your humor and wit (or lack thereof) actually show through in the way you smile? Of course, the correlations the machines will actually uncover won't be as transparent nor legible to humans as this.