At most, one might think that reordering is lexicalized-perhaps, (for instance) in translating from Chinese to English, or from Arabic to English, there are certain words whose English translations tend to undergo long-distance movement from their original positions, while others stay close to their original positions.
one would not expect a particular Chinese adverb or a particular Arabic noun to undergo long-distance movement when being translated into English in one domain, but not in others.