I'd be down for that. I'm well-familiar with Utena-canon (esp since I just did a re-watching of it!), and I always liked Nanami, even as mean-girl as she could be at times. ^_^ I'm happy to have them play off each other. I'd guess the dynamic would be Nanami trying to not be mean/deal with weirdness, and Lydia not taking any bullying while trying to respond to friendship-overtures? That's how it usually seems to go with Claire (even if Claire doesn't really ever stop bullying...)
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Honestly, I'm looking forward to it. ^_^