Granny, I have come to believe that there are the questions you're asking, and then the questions you're really asking :-)
I will do my best to answer a bit of both.
In China and a lot of other cultures, there is a female Cinderella fantasy where you get whisked off and somebody takes care of you. It might not be the overwhelming storyline in most cases, but it's in the culture somewhere. Notice that the women often act like girls, whether they're 20 or 60 or 60 years old. It's culturally appropriate, even encouraged, to appear helpless sometimes. Remember, this is the country that produced foot-binding. Notice I said "appear" helpless. It is, in fact, a tactic for acquiring resources and stability. Thus, for women, marrying a foreigner works well enough. You got to his country, you let him take care of you.
Men everywhere, but in China especially, need an appearance of control. In China, this means knowing how to navigate the complex relationships, extract a good living from the system, work within the system while bending the hell out of the rules. Being able to "pull some strings" is a major point of pride for Chinese guys. Because of the "face" system and China's history, Chinese guys have particularly fragile egos. Nationalism in recent times fuels this. Marrying a foreign woman means stepping outside the system and, if you move to her country, making yourself helpless, at least for a while. These concepts do not go down easily for the vast majority of Chinese men.
Thus, while Chinese women are often open to relationships with foreigners, most Chinese men find it far preferable to stick with a local partner. Western women will do best with Chinese guys who come from outside the mainland, where attitudes might have liberalized somewhat. Maybe Hong Kong, Malaysia and Singapore.