Our better model (in Canada, Quebec) is increasingly disliked by our population. The private sector is getting more popular, enough so that our government is thinking about banning it.
Many European countries found a compromise where both public and private health cares coexist.
The overall point though is not to sit on the laurels and try to hammer in "one right way" of doing it, but to iterate until you find a legislative healthcare framework that works for your country and benefits most.
The lack of progress in US on health care front is an indictment of its political rigidity first and foremost.
Universal healthcare isn't guaranteed to work well. The point is that it at least can work well and you can see examples of countries where it is working well. I suspect that people would feel very differently about private healthcare if it was their only option rather than an additional option for those with the money to spare. For example, in the UK I am glad to be able to make use of private healthcare for small things when I need to, but I would hate to be in a situation where it was my only option. (And that's not because the NHS in the present moment is a particularly shining example of universal healthcare done right.)
I use to work with a lot of Canadians and multiple of them traveled to the US for medical procedures in the year or so I worked with them. One older co-worker broke his arm while visiting family in Quebec and literally drove hours to cross the border to have his arm set there b/c of the wait time. I won't pretend to say I understand the systems in place in Canada nor have insight into why they did this, but I always found it really interesting.
Why do you think that's happening? It is just a huge propaganda campaign by moneyed interests or is there some actual benefit? Maybe just the grass is greener
The overall point though is not to sit on the laurels and try to hammer in "one right way" of doing it, but to iterate until you find a legislative healthcare framework that works for your country and benefits most.
The lack of progress in US on health care front is an indictment of its political rigidity first and foremost.