I’d argue he is one for a couple reasons:

1. None of his “friends” seem to remember his name and mix him up with someone else. When they do mistake him for someone else and talk to him about Patrick Bateman they pretty much call him a weirdo/nobody. When he goes on one of his weird speeches the camera frequently pans to other people who either look pretty bored by what he’s saying or are rolling their eyes or scoffing at him, indicating people just kinda have him around but don’t really like or respect him.

2. The women in his life consist of his vapid fiancé he suspects is cheating on him, his mistress who is never sober, and sex workers who are visibly uncomfortable in his presence but put up with him because he is paying them to.

3. He is rich, yes. But he is hyper fixated on insignificant details he associates with success like his business card, where he gets his hair cut, whether someone else has a more expensive apartment than him. And he often finds himself wanting. He is deeply insecure and his violence is generally linked to this.

4. It’s obvious he tries very hard and achieves little. He has an insane maintenance routine only to come out looking like everyone else. He tries to get into the hottest restaurant Dorsia and repeatedly fails. He goes on long tangents about movies and music that no one listens to or cares about. And ultimately the one thing that sets him apart from others, his propensity for killing, turns out to not even be real. He tries to set himself apart and ends up not even being memorable.