Excellent reason to NOT HAVE a medical record.
I go to the doctor whenever I need to. I know any recurring issues I have, and I bring them up if relevant.
And I get a new doctor every few years so that I have no centralized medical record. When the new office asks me for my old doctor's name, I say "you know, I can't remember and I never wrote it down." Start with a new record everywhere.
If the FSA wants free medical care, that means the government pays for it. They pay for it, they're gonna find a way to leverage it to their advantage. The aristocracy of pull, and all that.