Exactly. Not just the King but the nation and its land became a desolate wasteland which clearly did not happen in 539 BCE with its immediate fall under Cyrus.
You just said "exactly" to my statement, and then affirmed the exact opposite. Just read v12 grammatically. The 70 years ends, and then the king of Babylon is brought to account, and then sometime after its made a desolate wasteland... on and on... That doesn't change the order.
JW version of the history of the period harmonizes well with Jeremiah's prophecy as later confirmed by Daniel, Zechariah and Ezra. Thus as you say, the 70 years of Exile or Captivity to or for Babylon ended in 537 BCE with the Return under Cyrus.
No, it explicitly contradicts a plain grammatical reading of the original prophecy in Jerimiah.