This has not matched my experience in seeing children being raised in other countries in Asia, though I have not spent significant time in China itself, particularly around parents and their children, so I can't comment there. I will say that does not match the behavior I have seen of first generation or even second generation Chinese immigrants in America, however.
My anecdotal experience, primarily driven by my time in Japan as well as living in a place that has a very large Asian immigrant population is that they are as strict when it becomes to the behavior of their children as any Westerner, and often moreso. When I go to the local H-mart, I am far more likely to see a parent corralling their child and getting them to behave than when I see similar behavior out of kids from western parents at the Safeway
Perhaps this holds true in China itself, but I don't believe the distinction is purely East vs. West.