The thing that I think gets me about Neve the most, and this is past the point where I personally am in the game, is that you can still romance her after you've chosen to prioritize Treviso (which you can't do for Lucanis if you do the reverse). The thing is, it makes sense. Neve judges you negatively for trusting her. There's a dialogue in the Shadow Dragons hideout where Tarquin (Shadow Dragons faction agent) gripes about The Viper (Shadow Dragons faction agent and leader) running background checks on him, before admitting he'd probably do the same. And the thing is, if you tell Tarquin that this seems reasonable he accepts it, but he seems irritated. Neve doesn't.
You meet Neve striking a pose, having frozen her assailants, needing none of your help. Neve does not, on the whole, ever seem to want your help until she begs you to save Minrathous. She approves of you taking her to interrupt the ritual, and seems to be entirely unbothered by the fact that it leaves her badly bruised - indeed, you have to actively choose to leave her behind later when you go looking for Bellara.
Neve loves Minrathous and Dock Town, which means she also hates them. She takes you there, if you do the companion quest, which you should. She invites you after Bellara fangirls out over some news pieces about her (Neve drily remarks they were hit pieces), to go pick up some leads and some serials Bellara wants. For all she's sarcastic, gruff, and even a little snide with Bellara (and with my playing of Rook, who is fairly direct and positive with the Veilguard companions) and doesn't believe a Tevinter serial would ever truly end happily if it were remotely realistic, she still wants to get those serials for her teammates. She's not here to make friends, though she's slowly doing so, but she also believes in working with your allies even when they're sunny and scatterbrained or bracingly positive and you're an exhausted, cynical detective.
Exhausted is I think the most salient point. Neve is fucking tired. She tells you she's lived in Dock Town her whole life, and she became a detective, taking on cases for people who weren't helped by the Templars (who, you learn in one of the core missions prior to your choice to save only one of Minrathous and Treviso, are corrupt all the way up to the top). After solving a missing person case successfully, with an implication that she freed a slave in the process, the Shadow Dragons recruited her, but she's been doing the same work she always done. And the Shadow Dragons, meanwhile, in addition to attempting, with limited success, to infiltrate the Magistrate and fight for abolitionism, also do a lot of work like Neve's: helping people on the street. Their basement is full of unhoused and hungry people with nowhere else to go.
Neve is tired because, I think, she doesn't really believe Minrathous will get much better in her lifetime. She tells you in her companion quest, as you eat street food on the docks, looking out into the ocean, that she treasures the small wins because that's what she gets. Whereas the Crows remember a free Treviso and fight for that, Neve, in particular, feels like she's just trying to keep things from getting worse, and maybe help a few people. She's cynical because dreaming big probably won't pan out and she knows it so she's not going to waste her time.
Her work is her life. Her gift is literally just more evidence. Harding, Lucanis, and Bellara all reminisce about friends and family, but Neve still hasn't yet. You get the sense that Rana, one of the few clean Templars with whom she works, is probably the person she'd put down as an emergency contact. She doesn't even really get along with Tarquin, though, to be fair, doesn't seem like anyone does. Her world is a network of people who are useful.
I'm going somewhere with this, and that's, unsurprisingly, to Critical Role Campaign 3, because after all that here's my thesis: Neve is what people want some of Bells Hells, but especially Ashton, to be.
I've seen defense of Ashton's abrasiveness because many leftists are abrasive people, and the thing is, that's not untrue, but they're abrasive because they're like Neve: they're doing endless difficult work with very little reward or thanks, and at most they get small wins.
What has Ashton done for their communities? The Nobodies and Krook House aren't feeding the hungry or fighting corruption; the former is a group of thieves with no particular cause and the latter a punk co-op house. What was Ashton doing for the people of Jrusar or Bassuras? I struggle to find anything tangible. There's a lot of talk and no action - punk aesthetics and a lot of talk about standing for the weak, but when do they actually do that? It's all very surface level, and so the defenses of Ashton must focus entirely on what and who they are (nb, disabled, punk, had a terrible childhood) and what they say but never, ever, what they do. It's posturing.
Neve? It's entirely what she does. She is, for what it's worth, disabled and queer (and played by a woman of color, though whether she's coded as such in-game probably requires an academic background in both the history of Thedas and the history of the real-world Black Sea region) but we don't know a damn thing about her childhood yet. We don't know if she's been hurt or heartbroken or abandoned until we, as Rook, have to decide whether to do that to her. And when we do? She takes her time (she's not back yet in my game) but in the end, she blames the actual root causes of the elven gods sending the dragon and blight, and the Venatori working with them and, as far as I know, gets back to work. As she always has.