Again, I don't get you.
What is not true about the Psalms?
Give me an example please.
1:4 The wicked are not so, But are like the chaff which the wind drives away.
The wicked are not like chaff. They are driven by the winds like chaff.
6:2 Have mercy on me, Yahweh, for I am faint. Yahweh, heal me, for my bones are troubled.
Bones cannot think therefore cannot be ‘troubled’.
6:6 I am weary with my groaning; Every night I flood my bed; I drench my couch with my tears.
I don’t think he really flooded the bed every night.
You seem to be implying that there's no difference between "true" and "literally true."
Consider Psalm 23. It's clearly true in a metaphorical sense that describes our relationship with God; but it's just as clearly not literally true, because we are not sheep as in ovis aries, and God is not a literal herder of sheep.