The US tends to have a very individualistic outlook compared to many other societies, so I think differences should be expected to differ from culture to culture. In the US, it would make me very uncomfortable to have keep my child in a movie theater making noises if I felt like it was inhibiting on someone else's enjoyment of a movie, for instance.
This has been the case for most agrarian economies, including the US in the past so I’m not sure that’s a good discriminator.
but from that i want to draw a few observations: i think attitude towards children in europe either has improved or it hasn't changed. if it hasn't changed, then why should it have changed in china? but even if it has improved, on one hand it is still way behind china by comparison, but on the other hand we stopped depending on direct children a few decades earlier than china, so if there was a parallel development then china would have to be a few decades behind europe with their changing attitude towards children. that being not the case suggests that there was no change in attitude at all, or at least not one prompted by a modern pension system and therefore the chinese attitude towards children could not be a new thing.
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.
i don't want to claim that my experience is the norm, but this sentence in particular reminded me that my distinct first impression in china was like "boy they do let their kids here get away with anything"
add to that the reputation of the single child policy creating "little emperors" because of how parents raise their child.
but again, this is just my experience. it may well possible that this is a small minority, and that i just never saw parents corralling their children because they possibly were already effective at raising them to be well behaved.
it is also worth noting that i observed a much higher tolerance at people behaving out of the norm. (but then it is also a much rarer occurrence and it is also not considered polite to confront people)