See, Australia’s system is actually rather complicated as we do have a private healthcare industry that works in tandem with the Universal one (which is called Medicare here.)
The private system sometimes covers medical issues not always readily covered by Medicare, usually the very rare sort. And the private system allows people to “jump the queue” as it were, if they have non life threatening medical issues. We do have to have priorities.
That said, as far as I know, even those without private health insurance can see whatever private practitioners they want to, as here you can freely choose your GP (though they are legally required to refer folks to Specialists, if the need arises.) It just costs them a fee to visit them. (Doctors here can actually charge whatever they want. But government incentives are in place to at least keep the costs relatively low.) Tbf those without private insurance do get what we call a rebate through the Government. Basically a bit of refund, the amount of which is dependant on one’s annual income level.
See what I mean about complicated lol.
So it’s not like there isn’t some disdain for apparent cost justification here as well. It might be for differing reasons though