Jesus Delivers Not Just the Jewish People, but the Whole World

Matthew writes to Jewish people, and he's trying to convince them that Jesus is the long-promised king. Mark has a soft spot in his heart for Roman people; they're not going to know or care about lore and background stuff. Luke comes along as a Gentile outsider with a Greek brain,. His emphasis is on the humanity of Jesus, the incarnation. It makes sense that he would hit that physical birth human part of Jesus harder than any other gospel writers.