I mean that Latin is the only language I know which provides this extreme flexibility of form, to match what you want to describe by means of the structure and features of the sentence itself.

This flexbility is available in various degrees in other languages too, but, at least in my experience, never quite to such extreme extent.

One thing is definitely true: The most powerful Latin poetry only occurs in dedicated works of art, and realistically, nobody would have been able to pull this off in realtime. And further, even the most educated Latin poets were quite differently skilled in the application of this technique.

Personally, the complete mastery of this technique is one of the reasons why I enjoy reading Ovid before all others: Ovid not only applies this technique in almost each individual verse, but even throughout entire books, for example by structuring them in such a way that the most central message occurs in the center of the book, that metamorphoses that take a long time appear many pages apart etc.