Not sure how the title matches with this line at all.
In any case, these kinds of analyses always seem really shallow and historically ignorant to me. I can totally buy the idea that China will become a dominant economic player in the world, if it isn't already. This seems like an obvious, borderline mundane observation to make.
What would be more insightful is an analysis of China and the West that factors in three big things:
1. How the unique aspects of America basically make it impossible for the the country to be in the position China was in during the 19th and early 20th centuries, which is to say, a total disaster, beset by civil wars, colonial acquisitions, invasions, on and on. No matter how much China outcompetes America, I don't think it will ever be in that sort of situation. The military and national security state, plus the sheer amount of personal firearms, pretty much guarantees IMO that the US is basically impregnable from outside military interventions. 19th century China had neither of these things. And so I think you're inevitably going to have, at worst, a multipolar world, if not a directly bipolar one.
2. More broadly, how the cultural dynamics of the West led to the Reformation, Wars of Religion, Renaissance, and Industrial Revolution and to the West being the dominant power in the first place. And more importantly, if those cultural trends are still active, even if they are somehow dormant. If you don't factor these in, your picture of history is extremely short-term and basically dependent on contemporary predictions of the future. (See: predictions of Japan in the 1980s.)
3. And more recently, how the "enemy" of the Soviet Union prompted the US to behave more competitively and feel pressured to perform. See, for example, the Space Race. I don't really get the sense that China is anywhere near occupying the same place in the American imagination right now, and so there isn't much of a competitive spirit. There seem to be rumblings of one developing in the last decade, but it's still not quite there. If it ever develops, certainly it's going to be a factor.