Earlier quoted context omitted.
Private enterprises are already running a significant chunk of UK health care at the moment; the Tory government is dismantling the socialized health care in favor of short-term profit. It's not about whether people are willing, it's whether they can afford it or if they have no choice but to go into debt. Anyway, the NHS has also paid private clinics already because their own facilities are at capacity.
The nhs also has a shedload of funding. Let’s not overlook the aging population in the UK please. There are many more factors than simply “the Tories are to blame”
A hospital having a 20% bigger budget for their janitorial staff isn't in a better position if it's also been required to move from hiring full time cleaners in-house to contracting an approved cleaning company that has 30% profit margin baked in. An NHS patient isn't helped knowing that 50% more funding goes into paying consultants for the problem they have, if gradually more and more of those consultants are moving to private health companies and having to be rented back to the NHS at a markup that pays both the doctor and the company's shareholders. Etc etc.
Sure, the population demographics are related, but even if we had the exact same population as 20 years ago we'd be in a much worse situation; plus it's the government's job to pay attention to things like demo changes in their population, and to listen to the warnings that have been coming from the medical community for many years, and should have been proactively funding better social care (instead of completely abandoning it to local councils while also lowering their funding) AND making the NHS even better (rather than gradually turning it into an umbrella for private companies who eat up any budget increases).