Chinese people don't believe the US system is inferior solely based on improvements in their own country. I think this discredits them. Chinese students study English and America in school, many have come as exchange students, they consume American media - they are comparing things firsthand in a way that Americans mostly refuse to do.
Believe it or not, Western ideals used to have a good amount of traction in China. I suggest this translated firsthand account of how American values lost their luster: https://mp-weixin-qq-com.translate.goog/s/erCJHZVLEtnZ4wWbkg...