I went to a public primary and a public high school in Nth Qld. When I moved to NSW, no one had any idea and it was never an issue. But if the topic of schools you went to comes up and someone is from Sydney - then I notice they get the third degree and/or the judgement that comes with it!

I'd rather fly under the radar. Plus, never affected my ability to get into university and my post grad degree has a very high value for its type and where I went to get it.