Speaking on behalf of the Jewish mindset on this, we don't view the Cyrus cylinder as proof that the Bible is divine. It definitely corroborates the events in our history and written in Jewish texts, but the cylinder itself doesn't prove that the Biblical text is inspired or even true for that matter.
Maragaret Mitchell's Gone With the Wind has many details that match the empirical evidence of the history of the Civil War, but that doesn't prove it is inspired or that the novel is a true story.
The grasping at straws come from Christians who feel the Scriptures are some all-encompassing panacea text that give answers from Heaven to any and all questions anyone might have. This type of mistaken thinking requires the Scriptures to be accurate in history, science, and other details that belie the Jewish understanding of these books as narratives that offer a religious take on our own ethnic history and not necessarily historical data.