Yes, Chinese students should be more tolerant of foreign teachers with regional accents from English-speaking countries, so long as such accents have been toned down.

However, non-native English speakers are a different breed in this regard, especially those speaking 'Soviet' English! I even knew one of them who complained about FTs with Indian English, and a regular poster whose Australian accent was claimed to be too thick to be an FT! However, I had not found his English to be so when I had spoken to him via Skype some years ago!