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I know you know this and likely just mistyped, but for clarity, the Iliad is about the war itself. The Odyssey is about the dude trying to get back home.
They weren’t religious texts per se, but they were certainly cultural touchstones which contain important lessons about the human condition, death, love, and what’s truly important in life. They would fill a role similar to histories in the Old Testament, probably, like the book of Ruth.
You are right, i wrote a comment about iliad before and mistyped iliad here too. And you are right, it was a cultural touch stone for ancient Greece.