This type of thinking is rooted in irrational self flagellating behavior.
Hegemony for China means:
1. The securing of a prosperous and free homeland for all Chinese.
2. The end of any unfair treatment for Chinese or Chinese interests, anywhere on the globe.
3. That the power to stand first among nations is returned to the nation with greatest economic, industrial and scientific contribution.
4. That Beijing's governance can benefit all nations across the globe, creating more equitable and less corrupt world.
Why should the largest and most powerful nation not be allowed to take control of the interests of its own and it's global diaspora and expatriates?
A world without hegemony is a world where some dogshit oligarch country can lie, cheat and steal from Chinese businesses without direct consequences. It's a world where carpet begging loincloth preachers have the right to agitate against ethnic Chinese, while still benefitting from living in a world where China shoulders the premier share of global economy.
In fact you can say that it is the current reality, one which there is only competing bids, but no clear hegemon. Is this a status quo China should maintain for all time? I don't think so. Rather, it's vital that China not only overturns the bid for hegemony by rival state(s), but take global control into its own hands. Only then will the above 4 points be fulfilled.