I just got one in New York. When I submitted the application at the consulate I told them I lived in Taiwan and a ten-year visa would REALLY make life easier. I offered a photocopy of my ARC but they didn’t want it and said, “don’t worry, you’ll get a multiple entry.” Absolutely worth dealing with on your next trip home.
If you send your US passport back to a US agent, the Chinese will have no idea whether you live in Taiwan, Japan or Timbuktu.