Gibson was obviously very inspired by Japan. The Matrix was also in part directly inspired by Ghost in the Shell, even creating The Animatrix at the same time. But Ghost in the Shell and Blade Runner was told from the inside. It is about the authorities chasing down rouge elements. Neuromancer and The Matrix is from the perspective of the outsiders.
Like someone else said in the comments here, cyberpunk is counterculture. It is in the name. Gibson moved to Canada to avoid getting drafted into the Vietnam war. Japan never really did counter-culture as mainstream as the US does. Considering the overlap between cyberpunk and anime, I would actually say that Japan is sometime given too much credit by being treated as the superior original with deeper meaning. When it is Western media that have explored more advanced and diverse interpretations.
A similar thing happened with Battle Royale. A niche movie. The same concept became a cultural phenomenon with The Hunger Games, and later Maze Runner and Divergent series. And then video games. Now made from the outspoken perspective of the teenagers.
So you should absolutely credit the US counterculture and environment for a large part of cyberpunk and dystopian, but also more utopian science fiction. I don't even like Hollywood much, but it still has a far wider catalog than anyone else. Who else could make Grand Theft Auto, Call of Duty: Modern Warfare or even Star Trek: Voyager? Disney made Andor by the way.