Exactly, I think a lot of PP’s don’t really understand the private system having always used the NHS.
Private GP’s, private consultants etc are more than willing to prescribe most things. All it takes is some sensible conversations, maybe a blood test or 2 to check something wouldn’t be detrimental to your health and bingo.
DH was prescribed ADHD meds by his private doctor without an official diagnosis as they both suspected he may have ADHD so he was prescribed them to see if they help at all. They do so now he has them monthly despite not having a piece of paper that says he has ADHD.
There are certain migraine drugs that are not actually licensed for migraines and are very expensive. My NHS GP was unwilling to prescribe them for that reason. I made a private GP appointment and had the prescription within 5 minutes.