Everyone just uses the Kurds, for their own ends, when ANYONE making a strong partnership with the Kurds - whether others object or not - would be getting the most long term strong (as in never give up) partner they could. Why? For the Kurds its existential - securing their unique existence as a people.
I see China’s Mideast plans as boding good for the Kurds.
China’s road has to pass through Kurdish territory and China will pay protection money to the Kurds instead of paying it to Turkey, Iran, Iraq- thanks to US building them up and their good behavior.
No doubt its better to have one’s own country though.