I take it you're one of those people who ramble out stream of consciousness gibberish and think it's poetry?
No, in fact, I think people who spout
any flowery prose and claim free-verse should be shot on sight (or sound).
Still doesn't make it a poem. And in no case is "analyzing" any of this likely to help one become a better writer.
And I'd call the "poem" you posted nothing more than a petty piece of trash, which is just as petty as the prose you posted. Neither of them have anything
to analyze. (Except the cynical tone in the poem, which is blatantly obvious and thus, still quite petty seeing as it's the only thing that serves a purpose). If you're going to provide evidence as a counter to my point, do post something with a little depth.
The fact of the matter is, poetry from successful (as deemed by literary academia) poets will be chalk full of interlacing elements. Prose will as well, but the density is much greater in poetry (which makes analysis helpful). Certainly, there will be some things you can't use in prose that you can use in poetry (mainly rhyme and meter), but most elements can and do overlap (even meter in the rare occasion).
Likewise, many works which employ mainly prose never use it exclusively (ie. there are subtle inclusions of poetic text), especially novels and short stories.