Not sure what you mean by 'stylistic vale'.
It combines two features, which often go together, Pairs of rhyming words often go together: 'lean and mean', 'doom and gloom. Often, pairs are based on alliteration - a 'bonny, bouncing baby', 'good as gold', 'boon and bane', 'weal and woe' - (you'll have noticed that alliteration often protects a word that has become extinct ('weal', 'bane'...) from being lost entirely - as in its alliterated context it survives.
'Machine' combines these two features - it rhymes with both 'lean' and 'mean' and it alliterates with 'mean'.
Alliteration has been a huge influence on Engish literature. Look it up!
Five years ago I made a list of alliterative expressions with their meanings. If I find it I'll post it.