Two tier healthcare in China is more like the doctors refuse to do anything for you, or the hospital refuses to admit you.
https://qz.com/1206738/the-death-of-a-chinese-flu-patient-re...
The new yorker has a much more in depth diagnosis of health care in China.
https://www.newyorker.com/magazine/2014/08/25/under-the-knif...