Giacomo Puccini’s “Madama Butterfly” is one of the most frequently performed operas in the world. While it is loved by audiences and remains an essential part of the traditional repertoire, its history has a reputation for portraying inaccurate, harmful representations of Japanese culture, contributing to stereotypes of Asian and Asian-Americans. From September 14-24, Boston Lyric Opera will present a brand-new production of “Madama Butterfly,” the culmination of their three-year commitment to “The Butterfly Process,” an educational approach to reinterpreting the classics through a modern lens of respect and …