I asked myself - what is so secret about my medical records. Who cares if I have giut or high blood pressure. Now if I had syphilis when I was 23 - that I would like private. I imagine there are things many women would want secret as well, but by and large who cares.
Why not have the NHS ask the patient what details they want hidden. Bearing in mind this is only to be seen by other doctors that the same patient approves of on that same item by item basis.
I suspect that the doctors have fought long and hard to insist on this absolute secrecy because they have a vexted interest = this is where their money comes from and they do not want any sprt of competition from other doctors or even online doctors in India or Canada cutting into their pie.