I like the idea of reading things more-or-less in sequence because of the additional depth about traits of the core characters you can discover in the same order that the author did. Parker's Spenser, Christie's Poirot, Doyle's Holmes and Rankin's Rebus are enriched as the author's themselves, over many years and creating tales, reveal back-story and motivation that isn't there in the first outing; and other details which appear in short-hand in later books.
But this implies the author is challenging him/herself as well as the reader ... and certainly not every author is capable of this. Elizabeth George's Lynley, yes; but Sue Grafton's Kinsey Milhone? not so much.