Authoritarian state capitalism is different than liberal capitalism, I wasn't trying to say they're the same as the U.S, and you correctly outlined some differences that I agree with.
As for beliefs, I also recognize many Chinese people believe they have socialism, just like many Americans believe that we live in a free democratic first world country. The similarity here is that both these takes are just state propaganda that have been successfully fed to the masses.
China has successfully reverted anything remotely socialist about the country over the last 40 years. Like I've said previously, I recognize one day they might flip the switch, eliminate all the landlords & business owners, seize the means of production, and dissolve the State. I don't believe this will happen though, and they've made no indication of even moving vaguely in this direction.
If/when the day arrives that the workers own the means of production and are no longer wage slaves to a bourgeoise class, they will have successfully installed socialism. Before that day comes you can't just execute a few billionaires and claim you have socialism, if you're at all concerned with the true state of things.
And for the people like you who happen to live in the new Fascist America, fuck them? Fascism is not a joke you can just quarantine, it's hyper militaristic and imperialistic. If the country split, and one half was fascist, we'd be at war within a decade.