That's interesting about the love thing developing.
I was a bit surprised by the "distance" between the narrator and the woman, and wondered whether it was deliberate, or whether it was that crime fiction often generates quite opaque "other" characters.
Have you ever read any "Hannah Wolf" stories (was it Gillian Slovo who wrote those??). But she took the "p.i. who is not so good with people" trope and ran with it (Hannah "Lone" Wolf). Her character had a (rather put-upon) boyfriend, and in one story what initially looked like an under-drawing of a "background" character (ie "the boyfriend") turned out to be a crisis in her relationship. So it played off the characteristics (and expectations) of the genre, with gender expectations, and, I guess, the gender of the author and readers.
Anyway ... I wondered how Dave Robicheaux would use that ... .
Genre fiction is fascinating for its cargo, isn't it? I know it's a cliche, but it's both a prison, of sorts, and a potentially really useful tool.
I wondered if New Orleans functioned a bit like the genre - ie. he's inhabiting an old city, of old architecture, and old stories, with lots of history, but lived in by each generation, and individual in their own way, within limits?