“there are records from the Greek and Roman Empires and other empires Like the Byzantine which account for most year.”
Actually there are records going all the way back to the Assyrians and Babylonians! The conquest of Jerusalem described in Melachim Bet Chapter 24 appears in a Babylonian source. Then starting with Herodotus in the fifth century BCE we had writers writing history for popular audiences, often as polemic but giving extraordinary detail. For example, Herodotus mentions a people living at the eastern end of the Mediterranean who practice circumcision. That is us! But Herodotus’ history alone which covers the time of Koresh to the Greco-Persian wars doesn’t give enough time for the Persian period if you follow the SOR chronology. You have to also take into account the Peloponnesian wars as documented by Thucydides, and the rice of Macedon under Alexander’s father Philip. You also have to compress the lives of Socrates, Plato, and Aristotle into a very short time, and there is just no way to do that.