The difficulty of seeing the doctor is a useful gatekeeper to the service
If you could see a doctor with ease, then people would go and see their doctors, and the system would collapse – as it is, if you have to go out of your way to see them at your inconvenience, then it means the vast majority of the population are only going to go if they actually have i) a problem ii) an expectation you can cure them
Just see the recent closures of NHS walk-in centres as an example – they attracted too many of the two most problematic service users, the worried well (who have nothing wrong with them) and the chronically sick (who you can’t cure)
Both of which cost the NHS a fortune
Now, personally, I’d suggest that a better way to keep the worried well away would be to stop running adverts that encourage people to rush to the doctors every time they’ve eaten beetroot thinking they’ve got cancer…