There are many other literary techniques which can be seen in the same light, the simplest of which is rhymes. There's also alliterations, verse-lengths in poetry being restricted to the right amount for chunking, anadiplosis, chiasmus in a more general sense...
I've been working on a series of texts that combine these techniques with mnemonic systems to try and achieve super-human speed in vocabulary acquisition for fun but they're really hard to combine into a text that is somewhat natural.
Really makes you appreciate the subtlety of arts in literature and popular media of old. It’s unfortunate that in many ways we (Americans at least) are no longer subjected to as much subtlety through laugh tracks and the like. Discovering these gems is really fun.
The same person to first identify parallelism as a distinguishing feature of Hebrew poetry was Robert Lowth. Perhaps most interestingly, Lowth's works on English grammar are also responsible for a lot of the supposed rules in English that we dont apply (e.g. never end a sentence with a preposition, unless you have to)
A person cannot intentionally convert a story into a poetic structure without also distorting its literalness.
And the contemporary readers of the time would have known this as well.