I was born in Poland. Yes the system sucks but US is on another level.
Imagine visiting a hospital for an emergency, and receiving 10 bills from different doctors totaling to few thousand dollars then fighting with insurance to pay for it.
Universal healthcare brings OVERALL cost down. It makes private treatment cheaper. A crown and root canal costs about $2k in the US. Plus, it is nearly impossible to find cost of a procedure prior to it. It is fking weird.