Human-written poetry has deep meaning. A human writing poetry is trying to elicit particular emotions. It's teleonomic in nature. Whereas current AI created poems are teleologic. Beauty and rhythm of a particular poem can be deduced mathematically, whether created by a human or an AI. However, any meaning derived from AI-written poetry is likely a result of the Barnum effect.
This is just my understanding of it. I am completely open to discussion as my understanding is limited in both AI and poerty.
(I wrote out a longer and more carefully worded response, but it was too long. I made it short, but now it looks a bit rude...)
I think that you're mixing some extremely vague and stereotypical "poetic" terms (deep meaning, beauty, eliciting emotions) with some terms that sound very precise (teleonomic, teleologic, deducing things mathematically, Barnum effect). The former signify little or nothing at all, the latter suggest a careful scienctific perspective but actually look misapplied (Barnum effect, mathematically analysing poetry and beauty) or I find them to be borderline gibberish (teleonomic, teleologic).
I’ll go one further, and be perhaps even more rude, and say that it reads like the AI-generated text my students have been submitting for the past year.