So here is the fuller portion that the Society quotes:
But the strange thing is that above the remains left by these destructions, we find no evidence of occupation until the Persian period, which began in about 538 B.C.E. For roughly half a century—from 604 B.C.E. to 538 B.C.E.—there is a complete gap in evidence suggesting occupation. In all that time, not a single town destroyed by the Babylonians was resettled.
Notice that this concerns only the cities that the Babylonians destroyed. This is occupation of the destroyed cities themselves, not of the land as a whole, or the cities that were not destroyed. What the Society doesn't quote is this:
I do not mean to imply that the country was uninhabited during the period between the Babylonian destruction and the Persian period. There were undoubtedly some settlements, but the population was very small. Many towns and villages were either completely or partly destroyed. The rest were barely functioning. International trade virtually ceased. Only two regions appear to have been spared this fate—the northern part of Judah (the region of Benjamin) and probably the land of Ammon, although the latter region awaits further investigation.
Not only does Stern deny that the country was uninhabited but he indicates that the land of Benjamin was spared the fate of the rest of the country. Compare this with how Stern is quoted in the 2012 article:
Did the Israelites remain captive in Babylon for 70 years as the Bible foretold? Note the comments of a leading Israeli archaeologist, Ephrain Stern. "From 604 B.C.E. to 538 B.C.E.—there is a complete gap in evidence suggesting occupation. In all that time, not a single town destroyed by the Babylonians was resettled.'" The so-called gap in which there was no occupation or resettling of conquered territory corresponds closely to Israel's exile in Babylon from 607 to 537 B.C.E.—2 Chronicles 36:20, 21.
Stern is made here to support the view that that there was no occupation or resettling of the territory at all during the Babylonian exile, when he actually says the opposite.