I do business around the world and in many different languages. I've never changed my name but I have learned to respond to several different pronunciations. Although, when I lived in Spain, if I answered the phone and said this is "american pronunciation" then they would just be silent or go "uh uh uh" on the phone. Therefore, I answered the phone using the Spanish version of my first name; it just made it easier for everyone.
I've never had that issue doing business with the far east