How close a restaurants' dishes are to "authentic" ones depends largely on how many generations removed the chef is from their homeland.
Anyway, I'm of Chinese descent. First generation in my family born in Australia, but several more removed from China. So while the food that my family cooks retains Chineseness it also contains influences from the countries that my parents grew up in mixed in with ingredients that were sourceble in Melbourne, Australia in the 80s. That said, due to the relative distance of Australia to Asia during the mid to late 90s, more ingredients came in as the post-Vietnam war migrants settled here and had become further established in the community (so had capital to spend on luxuries like imported ingredients).
Some links that may be of interest: - http://www.abc.net.au/news/2016-02-21/humble-chinese-diner-m... - http://www.chia.chinesemuseum.com.au/biogs/CH01148b.htm - Chifa (Chinese Peruvian Cuisine) https://immigrationtalk.org/2013/07/17/chifa-the-story-behin... - https://en.wikipedia.org/wiki/Caribbean_Chinese_cuisine