Even better you can have both like a lot of countries in Europe. The access to public healthcare also keeps the premium down. Extensive cover for a family of four is less than 200 in Spain a month out of pocket.
The trick is that Franco hid the social security tax in the company side so normal people don't see it, but it is there.
Over that there is IBI for your house, there is IVA on anything you buy, and there are central bank inflation taxing anything you own in absolute terms.
I am forever thankful for the Socialism that allowed me to get a degree for $3k, though.
The downside is of course over-enrollment but at least the bartenders didn't come out $50k into debt. I hear it is different now.
But we have at least the option of additional private coverage and it is not crazy expensive like in the US.