I've 'worked' both in Public and Private.
Now the Privatised version that you see is mostly USA induced and quite a racket (thanks to Hillary Clinton

back in the day when she was in charge of USA Health ...which was just a 'show of' to revenue rake for Politics).
What you mostly get are nice Hospitals that look like Hotels - with nice carpet, pretty paintings on the walls, extra TV channels, a choice of beers or wines with your meals, your meals being slightly better than Public, more single rooms and basically all the things you don't really need in a Hospital experience ...because what you do need is an ICU or Emergency Room in the Private Hospital if something does go wrong, rather than having to be shipped by Ambulance into the Public Hospital. Yep - I've seen Doctors 'lie' just to get the Private patient in.
As for the Health 'insurance' - yeah, its an expensive thing these days. But what you don't see advertised on TV is the Health 'Providers' (like Ramsey, Healthscope, etc) - all of whom make massive profits with their very tight and skimpy budgets - both at the costs of Patient and even Staff.
Yep - its like Sydney, you pay a lot more for far less now.
Of course, you have the Public and all of its flaws.
But hey, its for FREE.
So - we have a society who legally 'sue' the Public system for all the 'free' care they get like a bunch of ungrateful a-holes. Each Public Hospital averages 200,000 law suits a year!

While the Private Hospital rips the patients off possibly $20 million a year.
Sure, if you go Private - the last thing you need to do when you are OLD is wait in a que, so the processing plant of just routine ops is pretty fast (the more people the get in, operated on and kicked out the next day - the more money they make

).
While junkie a-hole or lazy Houso are milking the FREE Public system for as long as they can in search of any excuse to take legal action for malpractice, while holding up the turnover of beds.
There's a lot more to it.
But basically I left for a number of reasons.
But hey, this is what all Australians want anyway.
If they didn't - they would produce a Medical system like that of other countries, rather than that two nations more apt at winning wars.
Btw - I never pay a cent for anything majorly medical.
You see - in the USA, its all about the customer.
But in Australia - its all about the 'worker' first, not the customer.
So - you have gotta be in it to win it

Sorry, but that's the way it is.