There's a real lack of awareness as to how healthcare is managed outside the UK. It isn't a matter of full of state driven free at point of access (NHS) or the US style insurance driven approach.
Firstly, the USA is a very unique style. There is public health coverage: 'medicare' - very basic coverage for those who can't afford insurance. Private coverage, either purchased by an individual or through an employer. They are complex, costly and often restrictive plans.. it's a dreadful system if you ask me. Healthcare can and does bankrupt people.
The UK is the other end of the spectrum - free to all, at point of access funded by UK N.I contributions. Pioneering when first launched and truthfully a fantastic provision which did the UK proud. Today, it's a different world - the NHS can't cater for the needs of today's population or it's health needs. It's not evolved to keep up with the times and is no longer fit for purpose. Outcomes are poor compared to comparable countries, services are limited. It's not a great place to get care and must be a thankless place to work.
Universal healthcare is possible on a privatized basis and it doesn't mean people who can't afford it have to pay out of pocket for all care. If you are in France it's funded through social security contributions much like the UK. The state sets the contribution levels (according to income) and decides what is reimbursable. Employees and employers pay social security contributions (employers a higher %). Between 70-100% of the cost is refunded depending on what it is - long term conditions are 100% for example. Supplemental insurance to cover the out of pocket amount employers are obliged by law to offer. The result is very few people choose or need private insurance. France has many more doctors, possibly owing to the fact medical school is free and doesn't require a student doctor to take on crippling debts.. making the profession more accessible.
A similar concept is applied in a multitude of countries, and honestly I can't think of any (other than the USA) at least in the developed world where healthcare that isn't state owned / controlled means you have to get your cheque book out to access care.
It doesn't help the UK to be so vested in maintaining the NHS as it is.. there are better ways and we shouldn't be afraid of change nor look to the USA as an ''example'' of what a different way could be.