I agree with the sentiment, and given the big picture of what you advocate for,
Every single trans person on this planet deserves to have their right to access recognized, codified, and enforced.
, within the limits of the current working system of health, you have my general agreement.
The reason, I think, that this post grates you a bit, is because behind it, there is a secondary ideological belief. That is, a different view around enforcement, the anarchic one.
The idea (that I as a trans person strongly support), is that the Government, the entity which decides legal limitations around medications, shouldn't even be allowed to have the ability to manage HRT, because if it has the ability, it will unavoidably use it at some point down the line.
Unless you're willing to say that drugs like nicotine shouldn't be over the counter due to the real health risk they pose, then it isn't the government legislators' job, to decide via restriction, who gets access to HRT medication.
The idea around prescription drugs, is that you're supposed to have easy access to them whenever you need them via doctor's orders, and they are restricted for one of these three reasons:
Either 1. They are useless outside their use AND rapidly irreversibly dangerous, 2. They can be made into threats for the state (see, bomb materials), or 3. Their risk is so great, that there's value protecting people from seeking them (see, opioids and other addictive substances).
HRT isn't addictive, and is slow acting, while being life saving for people who often are failed by the current social system. The only reason to limit HRT, (in a world where Alcohol is in super markets for 2 euro per liter lol), is reason number 2., every 50 years that fascists come out from their holes.
This is one of those many, many cases, where, your beautiful and correct dream of safety for our world that I agree with, should maybe (/s) Not start from restrictions to minorities.