This might help with poetry but comes at a price: it is superhard to internalise all the numerous word forms. I can't image learning Polish, Lithuanian or Russian being only exposed to English previously!
No it won't, because it's understood to be poetic.
In English, it's a awkward if an adjective is put after a noun right? But you don't bat an eyelash if it's in a poem.
"High upon the chimney stack, there I saw perched three crows black."
(Don't search for that, I just made it up.)
Moreover, in languages with case, reordering doesn't cause any ambiguities or confusion. You know which word is the subject and which the object in any permutation. (Not necessarily for all words, but most.) The speakers already enjoy considerable reordering freedom in everyday sentences already (non-poetic) where it plays roles in emphasis and such.
Compare to parrot and corvids. Birds have evolved a brain more efficient than humans. Crows are able to work with abstractions, and pound-for-pound use less brain matter.
And then there's the octopus and other cephelopods.
And it's not like both of these sides don't have an almost endless variety of languages...
Whenever one group of humans has met another, it has rapidly become apparent to both parties that the other has a language, no matter how long the ancestors of the two groups have been isolated from one another. Given how long humans and chimpanzees have been coexisting, if they had comparably effective language skills, it is implausible that either party has not recognized it in the other.
I believe that the theory of evolution is correct, and therefore that the evolution of language confers a differential fitness, yet chimpanzees are clearly not behaving in a way that exploits anything like the full capabilities of a human-like language, either in interactions between the members of their own species, or with their adversaries such as leopards or humans. At any time in the past, a small cabal of language-wielding chimpanzees, who grasped something more of the capabilities of their language skills than did their neighbors, could have dominated the remainder, increasing both their fitness and that of their species. In practice, we do not even observe them chatting.
It was David Brin, I believe, who made the same point with respect to dolphins: if they have these language skills, how come the knowledge of the dangers presented by purse seine nets, and the means to avoid them, has not spread within those dolphin communities where these nets are a significant cause of mortality?
There are many cases in evolution where a feature evolved for one purpose but then served another (which is how, it is supposed, birds got their flight feathers) - but even if that was the case for chimpanzee language, what was that primary purpose and why have the abilities not been adopted for their secondary purpose - especially as, once you have that level of language skills, change occurs at the rate of meme spread, rather than that of genes.
In other words, the combination of human-like language skills and the chimpanzee lifestyle seems very far from equilibrium. Language, by its very nature, does not deliver its evolutionary benefits cryptically.
Anthropologists have been doing that from skeletons for centuries.