That’s one of the debates I recall! Should one extrapolate statements in the Psalms about the Torah and what God has declared through OT prophets to New Testament books?
I’ve attended a number of churches with “proof-texts” listed in the inerrancy section of the Statement of Faith which had virtually nothing to do with the claims being made. They just get copied out of a systematic theology book or some other group’s Statement of Faith. Most people don’t really think about the rigor of such statements.