This.
I would be very surprised to hear that the PM was having to take whatever appointment was available and cancel his visit to the UN or something because of he misses it he'll not be able to get his repeat prescription issued...it's not a good use of his time to be subject to the vagaries of the system, plus there would always be an issue over confidentiality, privacy and security. It's not exactly mind blowing to realise there are arrangements for wealthy leaders.
What matters though is that he recognises this is not either available to the vast vast majority of the population, nor it it something most people want nor that best evidence suggests is a good option. We need him to commit politically to ensuring that the UK population has access to good quality, available, accessible health care. We need him to recognise and acknowledge the absolute crisis were in and vow to correct it. Millions of people have no preventative dental care, no timely access to a GP, no guarantee of a timely ambulance response if in an emergency and a high chance of seriously long waits for any surgery or treatment even if it's required urgent or necessary to preserve function and employability by their consultant.
These are the points that should be put to him. Not intense interest in the practical arrnagements he has, which are kind of common sense and obvious when you think about them.
He says that we should give equal consideration to independent providers and bolster the private health sector. But we know that evidence shows that if you are involved in a serious trauma - then going to a specialist centre is the better route to survival. If you have a heart attack or a head injury or a stroke or complex diabetes then the best care and outcomes are achieved in tertiary centres of excellence where the staff are experts, regularly caring for those conditions. The evidence does not exist for everyone going to nicely decorated small clinics with thick pile carpet and a coffee machine.....as you are more likely to be cared for by someone with no recent training or experience in that articular condition. You couldn't pay me to have an anaesthetic somewhere discrete and private by someone who is no longer employed by the NHS and only works a quarter of the year. That's not better care, it's dangerous.