Example from the article in Polish:

to drink wine = "pić wino"

I drink wine = "piję wino" or "ja piję wino" or "piję ja wino" or "wino piję ja" or "wino ja piję" or "ja wino piję"

boy caught fish = "chłopiec złapał rybę" or "rybę złapał chłopiec" or ...

There are many languages in which word order doesn't matter, it's the changes to the words that encode role of the word in the sentence, and you can divide the sentence into many alternative hierarchies (and certainly not all of them are strictly binary - some parts of the sentence are trinary or even more complicated, imposing binary structure on them is artifical and misleading).

I think this theory is very lacking in predictive power, says very little about supposed "universal" language and still isn't really universal as there are all sorts of exceptions.

Natural languages doesn't follow formal grammars strictly, especially not such a simplistic one.