The Chinese desire to raise China to global dominance is exactly a concern w/ status and wealth. It's naive to think that America and China are any different in the degree to which leadership is driven by these concerns. One simply hopes that the facts-on-the-ground (i.e. geography) structures this pursuit in such a way to provide peace and prosperity to normal people.

America, for a time, made appeals to things beyond power and status when it talked about "freedom". Nowadays this has been debased to just mean the freedom to attain power and status. Americans are deeply resentful about this, and their thinking will remain incoherent until they move past this.

China never made appeals beyond power and status. Communism essentially claiming that power and status are all that exist, and that peace is produced by removing the ability for specific people to asymetrically amass it, which is equally incoherent as the Americans just on a different time-scale.

Because of better middle-term planning, China is in the better position to amass status and wealth. But this is not all because they are somehow less concerned with status and wealth.

Both powers have near zero long-term planning, because anyone with an iota of wisdom knows that status and wealth are fleeting.