It's called the American Dream rather than American Reality for a reason. People follow this dream into the country. If China had enough of a hold on Western culture, it could too manufacture this perception which would draw immigrants in.
Or not. Unsurprisingly US immigration dropped a lot during the first Trump presidency, which coincided with COVID making things worse. In numbers Germany was also getting more influx than the US, but they sure weren't happy with it either.
Assuming that China wishes for more population to come in sounds pretty weird to me. They fought an incredibly unpopular fight on their own citizens for decades to reduce population growth, a foreign influx of people is probably the last thing they want IMHO.
