Funny thing about universal healthcare is the fact coming from an individual see himself as an austro-libertarian I don't see any problem with it other than the fact I don't like the idea of government mandating such a thing, let alone is the provider of such a thing..
In my view, "universal" healthcare can be best achieved when government regulations and meddling in the healthcare industry is removed and entities(e.g. doctors, insurers, etc) are allowed to compete freely and without special favors etc.
Speaking off, 2 awesome articles on why out heathcare system is disaster:
https://mises.org/library/myth-free-market-healthcare
https://mises.org/blog/how-government-regulations-made-healthcare-so-expensive