The US's dominance in media, tech, and higher education is too established for China to threaten. China is seeing growth in these sectors, but the US is still a huge destination and resource for international investment in these sectors. The US is home to half of the top 10 ranked universities globally, with China having zero. Additionally, Hollywood's reputational dominance in the global film industry means that its influence is far greater than China's, even if the Chinese film industry continues to grow.
Most importantly, China's growth is reliant on borrowing from the US's successes. With their students in US universities and reliance on modeling from American influence, the US has the ability to weaken China, if necessary.