The Black Plague was first recorded 1330s in China long before it began its migration to the West. However, you were right in the aspect that China in general had a strong administrative and bureaucratic base which allows coordinating disaster relief efforts.

Plus, the advantage of having rice means they could afford to feed citizenry very well in most cases.

Also, China as we know it today didn't exactly exist, but it's better to understand and obeserve the various polities that came and went during the centuries. Each would have different circumstances and administrative power in combating disasters as they happened.