J.D. Salinger is one of those, as is Thomas Pynchon. In the case of Salinger, the media view his reclusiveness as a kind of insanity, which shouldn't be surprising. The media want stars to expose themselves because that's how the media make their money. When any star refuses to play by the media's rules, they turn against him. Salinger became famous through basically one book.
Modern fame creates very high expectations, both with the public and the famous.
For most people, writing one good book in their lives would be an enormous achievement. But with the fame that now accompanies the publication of such a book, the expectation all around is for another book, and then another. That's one big problem that famous people have. Sooner or later, they peak. Yet they have developed very high expectations.