Nnnnngh that hurts to read, just so you know. I alluded to this a bit in my own TL;DR to you (though gosh, I tried to condense it to avoid teal, teal deers and you gave me all this beauty!) but Luna does catch a little of his desire for her happiness because of what happened her first day in Panem, although she hasn't realized it as such because of her ideas about robot compliance. She certainly doesn't see any potential romantic overtones as anything but wishful thinking. :( They really are going to keep going around in circles, although maybe in the end they can settle on something even if it doesn't go beyond companionship (emotionally if not physically, given your endgame ideas). That would be enough of a happy ending in Luna's book, anyway - I like to think whatever form of love she feels for Sigma, just getting to be close to/with him would be a major fulfillment.

Also can I please express my gratitude that you read all my dumb rambly tech/philosophical talk about how Luna's nature as an AI works and then throw out your own for this meme? Because it makes me happy and I just want to say so.