Yes, you would think so ...ha?
Maybe it is not mentioned then, because it was all made up later?
Messiah is never mentioned in any Greek or Roman non Christan Source until 80 years after his death! There is no record of Jesus having lived in these sources. In the entire first Christian Century, Jesus is not mentioned by a single Greek or Roman Historian, Religion Scholar, Politician, Philosopher, or Poet. His name never occurs, in a single inscription, and it is never found in a single piece of private correspondence, zero, zip references! The first time Jesus is mentioned in a Roman Source or a Greek Source, is by a Roman Governor, of a Province of Asia Minor, Governor Pliney in the year 112, eighty years after the death of Jesus, and even then he does not call him by name, but calls him Christ in passing. This is the only reference within 80 years of his death! Jesus is mentioned 2 times very briefly by Jewish Historian, Josephus in the year 93, over 60 years after his death. But these entries are considered implosions by many Historians. But even then, non of these were eyewitnesses, so it is of little value. He is not mentioned in any other Jewish source of the first century at all! If you want to know about Jesus you have to turn to Christan sources. There is no other choice. The earliest Christin Source is the Apostle Paul. But to the surprise to many bible readers, Paul scarcely mention's anything about Jesus words and deeds while he was living. So the earliest Christan sources are the four Gospels, but these are filled absolutely filled with discrepancies, historical mistakes, errors, contradictions, stories that have been changed, and rehanged, and changed yet again.