We're currently seeing exactly what happens when the central bank money printer goes into overdrive, which is rising inflation. Maybe we shouldn't be encouraging that.
Taxation funded healthcare seems to work pretty well. It allows you to avoid the situation where individuals pay significantly more due to bad luck with their health. Plus you get to cut out the insurance companies' cut completely.
Some of the countries that implement universal healthcare could actually use some increased inflation. So it doesn't seem like a real concern in practice.