I think you're missing my point in your rush to make yours.
I'm saying that folks from systems like they have in the UK or Canada often refer to it as "free" and do a great bit of associated boasting. In fact there are costs (perhaps a cost structure superior to that in the USA, but still costs) involved, it's just "free" to the end user.
For example, I'm sure that here in the USA if we taxed the Billionaires to pay for "free" health care for eveyone, it would be referred to as free health care by the masses. The Billionaires might feel differently.........
The concept of no cost to society and free to the end user seem to be used interchangeably.
BTW, I'm eager for USA health care costs to be reduced to typlical world levels. No argument there.