I'll leave it to Australian speakers to say what they think, but one issue here is the lack of a clear definition of the difference between a dialect and a language. What is regarded as a language in one part of the world could be a dialect in another- the dialects of Chinese are said to have greater differences than some European languages.
PS As a British English speaker, I wouldn't consider Australian English to be a variety of (British) English, but a variant/variety of English. I don't see the forms of English as part of subsets, so the British, even in brackets, looks add to me.
Student or Learner