Pax-Sino will not be a thing.
Pax-Americana existed because of two qualities that America has, but China does not.
1) America has a very unique interest in the foreign affairs of others. So much so that America is "hated" for it, and America has built a global navy to enforce its interests. China, both historically and currently, is hands off to the affairs of others if they do not represent a direct Chinese interest.
2) Foreign entities joined in on Pax-Americanan economic system (capitalism) because it made them rich as well, just not as rich as America. China themselves joined in and benefited. However, there is no part of the Chinese economic system that is interested in making others rich. They take an opposing approach, they give others the tools to keep power (through surveillance). (America gives countries the power to keep power as well through military sales, but the major factor is economic, not military).