I doubt it. Women have a distinct advantage in getting a partner in China. Due to the 1 child policy and Chinese parents’ preference for male children (as is the case in most of the developing world...where is the concern from feminists?), there are many more men than women in that country.
On the matter of suicide by shopping too much. I don’t go out to malls anymore. I try to buy everything online or at the nearby Wall Mart. I hate crowded malls and the rampant consumerism they elicit.
Until you ask them what they think of Chinese men. I can't count the number of times I have been told "Never, again!" :)
Actually, there are plenty of girls in the big cities - it's the rural areas that are experiencing the huge shortfall.