I've just been looking over the stats for these two sets (granted it was the wiki; and that could be wrong) but there doesn't seem to actually be a difference (other than cosmetic), thus why do they both exist? Surely there aren't two versions of the same thing just so it looks different?
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There are minor differences like one shield has more max shields while the other has better shield regeneration, but as far as most people are concerned, the Romulan set has a more subtle look while the Reman set looks gaudy.