Neither of those people is my source, so your attempted false dichotomy is irrelevant. The Cyrus Cylinder, a contemporary document, indicates that various people were repatriated, with particular focus on Mesopotamia and with no specific mention of the Jews. Ezra and Josephus are later sources, and have an inherent bias. No contemporary document shows that Cyrus wrote the statement claimed by Ezra several decades later, nor the interpolated written statement claimed by Josephus several centuries after that. You are the one asserting that Cyrus wrote something that isn’t in any available contemporary source and inconsistently reported only by later Jewish sources.
Even if it could be demonstrated that Cyrus accredited anything to Yahweh, for which there is no evidence, it would at best indicate that Cyrus simply said what the Jews wanted to hear to placate them. We know Cyrus made decrees benefiting the people of Babylon and crediting their deities, which at the very least contradicts the claim that he recognised the Jews or their deity as unique or special.