In the past few decades, the global wealth inequality has decreased significantly (under the leadership of the "US empire" nevertheless).
China isn't communist, it's just a dictatorship. Very capitalist. Huge inequality as well, growing faster than the West and approaching US wealth inequality. I can't see how there would be less inequality under the rule of the "Chinese empire".
I'm guessing that you are thinking about the number of people that have risen from poverty (lead by China, not US) because I could not find one source that is talking about decreased global wealth inequality. In fact, every single source that I could find on a short notice is talking about the rise of global wealth inequality in the last few decades.
Can you share your sources.
> Global income inequality increased for 2 centuries and is now falling
That the us led world order eventually will collapse due to global inequality is pretty standard thought in communist thinking.
And of course China sees itself as a more just society with basis in the worker rather than the capital holder.