No need to pick one or the other. There's plenty of hegemony from both to go around:
"The Communist Chinese invasion in 1950 led to years of turmoil, that culminated in the complete overthrow of the Tibetan Government and the self-imposed exile of the Dalai Lama and 100,000 Tibetans in 1959.
Since that time over a million Tibetans have been killed. With the Chinese policy of resettlement of Chinese to Tibet, Tibetans have become a minority in their own country. Chinese is the official language. Compared to pre-1959 levels, only 1/20 monks are still allowed to practice, under the government's watch. Up to 6,000 monasteries and shrines have been destroyed. Famines have appeared for the first time in recorded history, natural resources are devastated, and wildlife depleted to extinction. Tibetan culture comes close to being eradicated there."
China is a horrible state led by a despot, but it doesn't have a history of invading and killing anywhere beyond what it's historically claimed to be part of itself.
So to most of the world, the US has always been the greater threat.
Indeed, there really is.
https://github.com/dessalines/essays/blob/master/us_atrociti...
[couldn't copy and paste an excerpt because it's far too long]
Occasionally harmful? Hundreds of thousands slaughtered in the middle east in the past two decades isn't "occasionally harmful! China isn't even in the same league when it comes to the harm of US hegemony.