So far China hasn't broken down many walls, for example I'm fairly sure they can't do what TSMC does.
And for media... guess what, they need to open a lot of things up. There's a lot more freedom of speech in the US, so US media can be about a lot of things interesting to the rest of the world. The US even has a lot media catering to other countries (for example media targetting Chinese audiences).
I mean, China could try that, we have the examples of Japanese and South Korean media, but both of those are democratic, and even then, it took them a long time to develop. Plus neither of them are near the levels of influence US media has.