(noun) a rhetorical or literary figure in which words, grammatical constructions, or concepts are repeated in reverse order, in the same or a modified form; e.g. ‘Poetry is the record of the best and happiest moments of the happiest and best minds.’.
Yes, they seem to have a teeth-grinding fondness for the rhetorical figure of chiasmus (“We can build on the strength of our diversity, and the diversity of our strengths”).