Arbitrary word order doesn't make a natural language more 'powerful'. German has more flexible word order than English, but anything you can say in one, you can say in the other.
It's just a trade off between marking the roles of your words in a sentence either with position or by decorating your words. Very similar to positional vs keyword arguments in programming languages.
(Interestingly, just like Python allows you to mix and match keyword arguments and positional arguments subject to certain rules, Turkish usually goes for the decoration-approach via suffixes but allows you to drop some of the grammatical markings if it's clear from context. Eg if you provide an explicit number, you don't have to mark your plurals.)
While on the topic: grammatical gender is often seen as arbitrary, especially in language like German were potatoes are female and girls are neutral. The programming perspective on the use of grammatical gender is that they are essentially 'registers' that allow you to quickly refer to terms you just used. Having more than one register is useful, and a somewhat random hashing of terms to registers is fine for that purpose.
(Btw, Turkish has only one gender.)
I do agree that flexible word order is useful for poetry. But then: poetry like all artistic endeavors thrives on limitations. Compare https://en.wikipedia.org/wiki/Oulipo