On a more serious note, I thought that an AME will not generally perform the job of your GP
My AME does a better job than my GP practise which is a huge PIA to get to see or speak with some one.
I just phone the AME surgery and tell them I am one of his pilots and the lady on the desk either puts me straight through or he rings back.
Also if he picks something up in your medical he will run up the paper work and refer you to the hospital for further tests on the NHS with you as a visitor on his books.
Its well worth the cost of the medical to be honest.