That sounds really very nice and all...except for the part where it only works with one keyword of the sign. Eris and Aphrodite probably couldn't be anymore at odds with each other if they tried. It was a nice try, and indeed a very interesting thought process, I give you that.
There's a specific reason why we do have the word "diplomacy" and don't just rely on the word "war" to cover for it. In other words, diplomacy is normally about avoiding a fighting conflict by talking it out and trying to reach a common ground, which seems much more of a Librian style.
Now, I know it's no fair to counter your point without making points of my own for you to have the chance to counter, so, here I go. I think Eris fits Virgo in a multitude of ways.
"The elder daughter of dark Night (Nyx), and the son of Cronus who sits above and dwells in the aether, set her in the roots of the earth: and she is far kinder to men. She stirs up even the shiftless to toil; for a man grows eager to work when he considers his neighbour, a rich man who hastens to plough and plant and put his house in good order; and neighbour vies with his neighbour as he hurries after wealth. This Strife is wholesome for men. And potter is angry with potter, and craftsman with craftsman, and beggar is jealous of beggar, and minstrel of minstrel." (You can get all of that from Wikipedia.org by the way). To me, this seems Virgin due to the ability this Eris has to stir up this "wholesome strife" within us all to make us more diligent, efficient, and industrious through an odd, yet effective, set of insentives. We see our rival in our profession getting more money for something that you both do, so you work harder and make yourself better to catch up and surpass your rival this steps up our "work-in-progess" status, which is another Virgin quality.
Nextly and lastly, we have the famous Golden Apple of Discord legend that Eris is -- arguably -- most famous for, for those of you who are unaware of it, or don't remember it fully, I'll post it here as it's worded on the Wikipedia.org page. "She therefore tossed into the party the Apple of Discord, a golden apple inscribed Kallisti – "For the most beautiful one", or "To the Prettiest One" – provoking the goddesses to begin quarreling about the appropriate recipient. The hapless Paris, Prince of Troy, was appointed to select the most beautiful. Each of the three goddesses immediately attempted to bribe Paris to choose her. Hera offered political power; Athena promised skill in battle; and Aphrodite tempted him with the most beautiful woman in the world: Helen, wife of Menelaus of Sparta. While Greek culture placed a greater emphasis on prowess and power, Paris choose to award the apple to Aphrodite, thereby dooming his city, which was destroyed in the war that ensued." To me, this screams Virgo in almost every sense of the sign. If Eris' action in this scene isn't clever, smart, analytical, patient, precise, sharp, sensible, attentive, structured, quarrelsome, and meddlesome, I am unaware of what is.
Is it perfect? Not yet, but I'm working on it through close examination of ten different charts. So far, the majority has answered with Virgo keywords for specific parts of their lives and personalities that are touched by Eris. I even have a hypochondriac who has Eris in her/his sixth house. Pretty weird.