Really? That may be true with respect to Australia and Britain, but my understanding is that citizens of many of these countries have no private care options.
Canada seems to be one of them. If Canadians had private care options in Canada, there would be little reason for them to cross into the US to receive care denied to them by the socialist bureaucrats in their home country.
I'm pretty sure politicians and rich actors don't have to wait for hours in the queue.
You can go private in Britain. However the moment you do, you lose all NHS care. I read about a patient who needed a medication that the NHS would not provide. He tried to purchase it out of pocket but they threatened to cut all benefits if he did.