I think part of the disconnect comes from the whole "I'm gonna make a name for myself" bit. Cyberpunk really isn't about fame and fortune. Its this weird sort of mix between transhumanism, philosophy and dystopia. The world always feels like its on the brink of collapse. All these new and beautiful technologies didn't make life better, it didn't solve our problems. The richer you get, the worse you are.
Yes, it has a look about it. But there's really no feeling behind it. Its way too GTA. Cyberpunk protagonists also tend to be tortured in some way, lost themselves and struggling against society. The Major is doubting just how human she really is. Deckard has the same crisis. What makes a person a person? Is what he doing right? Is HE what he is hunting? V doesn't really have these sort of existential dilemmas. Even with Johnny, the game isn't asking what's alive and what's dead? In this game where an entire person can be put on a chip, what is a soul? Shit like that, things RPGs in general ask.