I don't know how restricting yourself to the western canon makes you small minded. The western canon is, of course, huge and enormously varied.
In any case, I didn't get the impression he was restricting himself. He describes going into book shops picking up any book he happened to light upon. My feeling was that he had decided not to beat himself up if these books did not encompass everything in the entire world. After all, isn't that the central premise - life is short?
Your alternative subtitle is unnecessarily mean-spirited. I don't believe he was claiming to be in any way remarkable, in the end he was simply describing how he loves books.