I'm European but there are major issues with waiting times, terribly low wages, strikes, ambulance provision, etc. in almost every country I've lived in.
Overall I think public healthcare is well worth it - in theory you can save a lot with one central purchaser, and even moreso if the government was willing to do drug discovery and production directly too.
But it is difficult to ensure future governments don't ruin it. It's kind of like why the unemployment funds and minimum wage negotiations being in the hands of trade unions instead of the government has worked out better in Sweden.