The claim that the Psalms are just poetry is going to be heartbreaking to anyone that cites them as prophecies about Jesus
That's completely fine. The early Christians went to great lengths to try to say "this bit here was prophecy, and here's how our guy fulfilled it". But nobody was viewing those passages as prophecies before then. It was all marketing for a weird little offshoot of Judaism on the fringes of the Roman empire which happened to take off centuries later.