It seems that the virus has spread in every country regardless of their healthcare system. Not trying to demean your desire for such a system, just in regard to this virus it is an equal-opportunity pandemic that all countries are suffering from. Universal healthcare has not prevented it.
The virus will have a stronger impact in Africa than in Europe.
The US healthcare system will probably be less resilient than that of Korea.
There is great variation in how well countries are prepared to such a pandemic.