I've been here for seven years and still don't know what is meant by "mateship". I don't really see any difference from the way English blokes hang out with each other.
I guess it's one of those urban myths.
With the grilling your own steak, I reckon that was good customer service strategy. You can't complain if you cooked it wrong yourself.
It is interesting you equate Sydney with Australia, most people outside Australia do. I find the cities are like middle sized American cities. Most younger people are very Americanised. The real Australia is the country. If you want to experience Australia try some country town like Dimboola or Townsville and see how you go with 5 months there.
A night out there would be something to remember, you would probably appreciate being given the opportunity to cook your own steak after that.