> stylistic expressions such as meter, juxtaposition, symmetry are so much easier to include when the meaning of a sentence doesn't depend on word order.

Eh.... some things are easy and some things are hard in any language. The specifics differ, and so do the details of what kinds of things you're looking for in poetry. Traditional Germanic verse focuses on alliteration. Modern English verse focuses on rhyme. Latin verse focuses on neither. [1]

English divides poetically strong syllables from poetically weak syllables according to stress. It also has mechanisms for promoting weak syllables to strong ones if they're surrounded by other weak syllables.

In contrast, Latin divides strong syllables from weak syllables by length. Stress is irrelevant. But while stress can be changed easily, you're much more restricted when it comes to syllable length -- and so Publius Ovidius Naso is invariably referred to by cognomen in verse, because it isn't possible to fit his nomen, Ovidius, into a Latin metrical scheme. That's not a problem English has.

[1] I am aware of one exceptional Latin verse:

> O Tite, tute, Tati, tibi tanta, tyranne, tulisti.