The US simply does not understand Asian politics, and even this article betrays that ignorance.
The US is located on a continent with only two neighbors, one to the north and one to the south. It has never had to deal with the dynamics of a dozen foreign interests on its own doorsteps.
On the other hand, China has always been at the center of Asian politics. It has had to deal with dozens of fickle neighboring states since time immemorial. Strategically, it has a wealth of history to draw from.
"The enemy of my enemy" is not my friend. It's a lot more complicated than that.
While I agree that the US does not understand Asian politics, I do not necessarily think China as having much inherent advantage in this regard just from history.
Simply put, historically, China has never really had to bother with Asian politics either.
It was always so big and wealthy and powerful that all the smaller Asian powers went out of their way to accommodate the Chinese.
Chinese Emperors or high officials seldom bothered to learn of the internal politics of its smaller neighbours. The lessor powers came to China to pay their respects and conducted relations on China's terms.
Very rarely would a Chinese Emperor have tolerated negociting with a foreign power as equals, never mind allowing foreigners to dictate rules to them.
Chinese historical experience comes overwhelmingly from internal politics, rather than international.
Foreigners only really become part of Chinese history if they either invaded China, or were invaded themselves by the Chinese and were assimilated.
The biggest differences between China and America are actually oddly, and paradoxically opposites.
While individually, Chinese people are largely notorious for having low self confidence, as a population and civilisation, the Chinese seem to have overwhelming confidence in their cultural superiority.
China historically had such harmonious relations with its smaller sourthern neighbours because the Chinese civilisations simply did not see them as posing any threat (it was always the northern barbarians that concerned the Chinese, although even that threat was only viewed as such because they kept invading). So were inclind to either ignore them, or to even give them aid as a means of demonstrating Chinese superiority (or both material and values/morals).
Americans, OTOH, are individually notorious for their unusually high levels of self confidence. Yet the American government seems to have a bit of a nervious disposition, seeing enemies everywhere, and seeming to not feel safe unless it has a dozen loaded guns pointed at everyone else's head and being able to read everything everyone else is writing to make sure they are not plotting against them.