Propaganda? If one wants to claim that prophecy is evidence of a superhuman prescience, don't you think the prophecies should be superhuman? Biblical prophecy isn't even as good as scientific prophecy, and nobody claims that it is evidence of divinity. Consider the prediction of the Higgs boson. It was extremely specific, specifying the mass, spin, charge, etc., it was improbable, and it definitely preceded the discovery. So great was the confidence in this prophecy, that an extremely large, complicated, and expensive machine was built to find it, and lo and behold, as foretold, there it was.
- "Think of how many religions attempt to validate themselves with prophecy. Think of how many people rely on these prophecies, however vague, however unfulfilled, to support or prop up their beliefs. Yet has there ever been a religion with the prophetic accuracy and reliability of science?" - Carl Sagan
As you note, skeptics object to anything weaker than this.