Erm, the apples to apples comparison here is “private” plus “out of pocket” which ends up as $5000 per year in the US and $800 in Germany. Private seems to refer to the premiums, and out of pocket the expenses. Premiums are crazy high.
And Poland is even cheaper, but you might have to wait for a bed unless it's urgent. Private don't do everything because some of it is not profitable. Public takes the slack, but even paying out of pocket likely won't bankrupt you unless you're very poor.
On the other hand, nurses especially are too few and underpaid. Not enough doctors too. They still do a great job and are achieving some raises via protests. Polish healthcare is not rich. German is. Buildings and some facilities here need some refurbishing, which is happening slowly over time.
