There's lately though talk about unvaccinated COVID patients bearing the cost nonetheless. Note that public health system is for free.
In my country (also EU) the public health system is most definitely not "free". It is paid for by a universal tax called (insidiously and inaccurately) "health insurance".
> There's lately though talk about unvaccinated COVID patients bearing the cost nonetheless.
Calls for true insurance (individualized, based on actual health and habits) are completely infeasible for political reasons.
What I can see happening is the existing mandatory health tax PLUS extra payments for non-grata groups. Some constitutional changes may be needed, but since all the right people would profit (extra $$$), that's just a technical detail in this day and age.
1. public health system will take care of you to its abilities (which to a large extent are defined by the taxation yes)
2. no private insurer is paying or covering anything COVID-related and they never did
3. been trying to get private insurance on top of the public one and I'm told time and again that a few systems of mine will be excluded (i.e. they won't insure me for anything bearing the remotest possibility of actually needing them for). Also that I am too old to start now...
if anything is clear from the COVID story in my mind is that we need a better and more capable public health system. Private healthcare is not about health or care.