One of the arguments against this is inflation from creating money out of thin air to fund it. Its a lie. The service is required and you don't get inflation from paying folks a wage to do a job. You do get it by propping up profits of private companies which essentually through the fattening of their bank accounts devalues money. Remember if you have a large number of folks competing for a good or service and they are all on similar playing fields (e.g wages near market avg), competition is high, the value of each dollar earned remains high.
If you have a handful of companies with buying power that far outweighs that of others allowing them to capture more than their share of a service or good because they can literally just throw more money at it than the majority of us can. This drives Inflation. It devalues money creating a new norm of your dollars being worth less.
Tldr: The benefit from entirely gov funded healthcare far outweighs that of a privatized system.