In fact it says:
"Although the agreement between the United States and Germany allows the Social Security Administration to count your German credits to help you qualify for U.S. retirement, disability or survivor benefits, the agreement doesn’t cover Medicare benefits. As a result, we cannot count your credits in Germany to establish entitlement to free Medicare hospital insurance."
There might be other loopholes though.
https://www.tk.de/firmenkunden/versicherung/tk-service-ausla...
https://www.krankenkassen.de/incoming/leben/nicht-erwerbstae...
That would cover most EU countries, though probably not the US (assuming that "private, but mandatory" does not qualify as "public").