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.)