I'm not sure it'll necessarily be privatised, but something has to change. Parts of the system have near-collapsed post-Covid.
We spend a fairly average "first world" amount on health care (e.g. the countries near us in the rankings are Ireland, France, Belgium, Japan, Iceland etc.
We could spend more under the existing system, to help things. Eg. the Germans spend about 30-40% more per capita than we do, on healthcare (but remember they are a much richer country, and they underspend on defence).
To me, the HUGE difference with our system is that, because there is zero patient charges anywhere in the system (laudable), the demand at the front end (GP services) is essentially infinite.
You only have to talk to a GP and ask them "what percentage of your consultations are spurious / non-medical". It's enormous. Anecdotally, GPs I know say something like 50-75% of the people they see on a daily basis, don't need seen by a GP. The system is swamped by people who have no incentive whatsoever to self-manage.
So, I would like to see a funding boost to bring our health spending up a bit on a per-capita basis, I would like to see some kind of golden-handcuff system in place which claws back training costs if you don't serve the NHS for a certain amount of time (we are losing tons of doctors we train to countries which pay way more, e.g. Australia).
And I would like to see some kind of nominal friction put in place for GP visits. You should be able to see a GP at short notice, at a relatively flexible time, if you need to. You can't, because they're busy dealing with utter crap people have learned they can take to their GP.