I've got no idea. I mean I think hairloss should be considered just as worthy a dysphoria for these meds, but it would be completely up to the discretion of the doctor. I told my Doctor I had gender issues. But obviously tell them whatever you are comfortable with. You can always order meds online like multiple people here do and then see a Doctor for blood tests if need be.
That's what I might do... I visit my endocrinologist soon, and I think it's best for me to just tell him I suffer with gender dysphoria. It would be easier for myself in the long-run, and it would be safer for myself in the long-run. I'm not sure how the process is, if he deals with it or if he refers me to a gender specialist but I believe it will be a difficult process...