Can you imagine if the shoe was on the other foot though, if it was a Chinese company that produced highly effective vaccines, and the US was stuck with the J&J vaccine? We'd likely be justifying our use of the J&J vaccine and trying to hand wave away the Chinese made vaccines.
China and the US (or really any part of "the West") are not allies, and are trade partners out of the fact that China wants to grow their global power through trade, and we want cheap stuff. And with the previous US president being openly hostile towards China, I'm not that surprised they continue to be suspicious. Just as much as I think we should be a little less trusting and dependent on China in our trade relations for a variety of reasons.
Yeah, you just need to look towards Japan to see how things can play out. The cultures are similar in that they both are influenced by principles of Confucianism which includes respect for and more focus on the community, so there's similar capacity to get folks to vaccinate. The downside is that the state didn't push for vaccines until the Olympics were approaching, but boy did they catch up quick once they realized they needed to folks vaccinated ahead of the Olympics.
I do wonder how much of China's problem is also the sheer size.