It seems strange to me how someone can simultaneously believe in the Incarnation, Resurrection, Real Presence, and Parousia, but then be dismissive of lesser things - like Jonah, or the splitting of the Red Sea, etc. These are shadows of the reality we now live in. No, it is not necessarily binding in faith in the same way, but certainly a hermeneutic of faith does not tell us to read these stories in another way - unless there are clear clues in the text or in the context of their composition.
Jonah is one of my favorite books of Scripture - it is like an anti-Gospel, which explains the Messiah by showing what He isn’t. It’s fantastic. The Messiah loves the Gentiles so much that He wants to die for them… with Jonah, everything is flipped (including some images - like with the boat). And the plant - oh, the plant! It gets me every time! It’s the Old Covenants! Christ is eating them up (think of the fig tree), making the sun shine on all equally! (That’s Augustine’s reading anyway.)
Here’s a cool vid worth a watch (these guys are Protestants but they have a lot of good Old Testament stuff, even if not all is perfect):