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I'm sorry, what? The WHO puts the Greek healthcare system at #14.Statistics are not necessarily the same as "ground truth".
- Hospitals are under-stuffed,
- doctors make a pittance and ask for side-money to take care of patients (what is known as the "envelope" system, from small mail envelopes where such money are customarily handed over in),
- rooms are full and patients are stuffed in beds in the hospital corridors (called "camp beds")
- waiting times are horrid
- lack of modern clinical equipment
- hospital workers are overworked
- drugs are often lacking or late
- doctors and nurses are underpaid horribly (think McDonalds level money at public hospitals)
- lack of ambulances and people dying after waiting for 2-3 hours to be taken to a hospital
and so on.
Now, despite that, there are a few things that make the Greek healthcare system still rank high: good doctors (some of the best in Europe), and a legacy of free access to healthcare for working people (who are mandatory insured) -- that is increasingly corroded and people are asked to pay ever more of medical expenses, drugs, etc.
Still better than the US, of course, but that, as you said is a pretty low bar.
Here are some more modern sources for the current (last 5-10 years situation, although some of the above issues are much older):
https://www.theguardian.com/world/2017/jan/01/patients-dying...
https://www.vice.com/en_uk/article/bjyyp8/the-corruption-i-s...
http://www.ekathimerini.com/225105/article/ekathimerini/news...
https://www.zerohedge.com/news/2017-01-02/7th-year-austerity...