Something which seems to be under-appreciated is that poetry is intentionally imprecise. There is something about precision which reduces emotional response. Searching for the double meaning, or metaphorical meaning of a word seems to enhance its ability to produce emotion. If you want a working example of this, try comparing technical documentation (among the most precise writing out there) to any sort of popular poem. The poem is necessarily imprecise, and this imprecision seems to be a fundamental facet of the expression of emotion.

This actually seems to give LLMs and edge: their imprecision potentially matters less, and leaves more room for the reader to fill in the gaps.