Marie,you've hit the nail on the head
I live in Germany and I must ask what they mean by "socialized health system"
Everyone here must have a "krankenkasse" a private health insurance company which is profit orientated.If you need treatment which is out of the ordinary you could be denied.
Some are more costly than others which determines the level of treatment that you can expect.
If you are not insured.you're in deep trouble and would be asked to fund your treatment yourself........as far as I know one of the true social health care systems is the National Health Service in the UK.