Very few washers sold here are made in China; Haier is the only brand I can think of right now, and even then they only have a small portion of the market. In many cases the parts are made in the USA, however, the washers themselves are assembled somewhere else, usually Mexico (where my DD Kenmore was assembled). This is another cost-cutting method; labor is cheaper down there.
The main problem with today's machines is not where it was built but low-quality materials...i.e. excessive use of plastic and low-gauge metals. Yes, USA-made washers do just that. How many modern top-loading agitator washers have you heard of that weigh close to 200 lbs?