Does Wm. Golding's book "Lord of the Flies" correctly present the theology of "The Fallen Nature of Man" according to Christian Protestantism?

William Golding wrote about a group of Boy Scouts who were stranded on an island, and who tried to set up a society among themselves. At first they were quite civil and logical in their social interactions. But as time went on they became less civil, and eventually barbaric in their treatment of each other...even setting up a pig's head for worship! The story ended with a rescue, before they annihilated each other completely...by a warship! Showing the need of society at large in the world. Does this represent faithfully what Protestants teach about the Fallen Nature of Man as presented in the Bible? (Romans 3:23, 6:23) And does it lead to the incisive conclusion that Fallenness directs us to: the need of a Transcendent Savior? Note that the troop of boys had no outside, cultural influences. They only acted according to their inherent instincts. Which instincts gradually manifested themselves in evil conduct, growing worse and worse by the days. Is this an accurate illustration, by the novelist, of Paul's thesis in Romans 1-2 (wittingly or unwittingly on the part of Mr. Goldman)? >What then? Are we better than they? No, in no wise, for we have proven before both Jews and Gentiles, that they are all under sin. As it is written, *There is none righteous, no, not one...* (Psalm 14:1; Romans 3:9-10)
*For all have sinned, and come short of the glory of God.* (Romans 3:23) Did Golding have any connection with Christianity in his personal life? Was there any knowable influence that theology had in forming his motifs in writing his novels?