Let me tell you about getting a blood test where I live.
If through my GP annually for a routine matter. I'm told I need one and to book it at the surgery with the nurse or via a slot at the hospital. The blood form goes in the portal. There is no paper.
The nurse's availability is rarer than a pink unicorn. I work full-time still and this blood test can't be stored overnight for the 10.30am courier. It is not possible to book an appointment far enough in advance before the diary slots run out.
Usually I book a slot at the hospital via the on-line booking service (you can't telephone). The hospital is the opposite direction to my work journey so I tally it with a day off, I have to. 35 minute drive (SW London so traffic), 20 minute queue to park, 2 minute blood test, 35 minute drive home.
30 years ago, getting a blood test at the GP practice was no problem and the GP would do it for you if necessary. I get frustrated by the continual whine of too busy. 30 years ago, I got one prescription a year for thyroxine, now I get six. If practices have time to mess about with doing things six times instead of once, they have time to take a two minute blood test.
For my consultant requested bloods (different trust), again I make an on-line appointment and the paperwork digitised.
The on-line appointments are great and work for me because I am happy to use IT - the issue is there is no way round fir thise who aren't. There is no paperwork to remember and you get a time slot that largely runs to time. They are recent however and before you booked a slot on-line it was turn up, take a ticket and wait - sometimes for up to three hours. YES THREE HOURS and there was no communication freely given about the waiting times. It was also difficult to judge the queue because the waiting area was shared with maternity and gastro clinics.
The service may be free at the point of delivery but the delivery is not geared to patient needs it is geared to hospital needs. This approach exists in no other sector. There is zero respect for patient time and whilst I hear the arguments that a lower percentage of GDP is made available to the NHS than in Continental Europe, in Continental Europe there is less investment of patient time (lack of productivity) in accessing services. If one were to add the cost of wasted patient/lost economic activity time to UK GDPR I think the total economic investment into the UK system would be far higher than in Europe.