This is slightly off-base from the original post, so I apologize. But regarding the independence thing and the thing about not taking care of elders. China's social welfare system is not well-developed compared to the west. Parents see kids as an investment, because how else are said parents going to be taken care of in old age? The parents will go to great sacrifice, financial and otherwise, so that the kids can go to good schools and to university. There isn't much of this student-loan stuff, that I'm aware of.
When the kids grow up, they are willing to take care of their parents for these reasons:
-the guilt factor: "My parents sacrificed so much so that I could be where I am today ..."
-there is no one else to do it.
-intergenerational transfer of wealth is extremely efficient and important in China. In other words, parents are willing to use their life savings to fund adult kids' down payments for houses. (You didn't think they were doing it themselves on 2,500 RMB a month, did you?) An inheritance may also be in the picture.
China does have a few nursing homes. The option is not as popular as in the West. But that's not because the Chinese love their parents more. For one thing, in the U.S., nursing homes tend to be paid for by Medicaid -- that is, the government.* In China, I suspect that all or nearly all nursing home care is paid for directly out-of-pocket. Chinese families don't go for that, because that is money that could better be spent for a house, for kids' college tuition, for a car, etc.
In short, I believe that if the government were picking up the tab, many more elderly Chinese would be staying in nursing homes. In fact, if such a policy were enacted, I suspect that all nursing homes would be overflowing, and with humongous waiting lists!
*In the U.S., some people do have their money and their house taken by nursing homes or Medicaid, but others get around it by putting their assets into their children's names long before nursing home care is needed.