The thing is, none of the rules you mention exist to stop patients from doing anything. Rather, they exist to protect desperate patients from con artists selling (sometimes literally) snake oil "cures".
I'm reminded of accredited investor rules -- which also chafe at times, but are equally essential for protecting people from scams.
To give an example: in my country, 56% of people have already medicated with homeopathy (a known scam for decades). Imagine if they could just buy any other medication, which unlike homeopathy, could have strong secondary effects ? Those 56% people who have "illnesses" with very benign symptoms that for most cases cures itself in a couple days without any drugs (homeopathy is used for anything, common cold, headaches, itches, you name it ...), now they're potentially taking much more dangerous meds. So it's clearly not equivalent as 56% of people definitely don't have "faint-at-the-wheel" symptoms today.
As a bonus, by arrogating the exclusive right to drug prescription and analysis to themselves they can charge what they want.
Man deserves true freedom. To self diagnose if one so desires, to kill oneself through incorrect prescriptions if one so desires.
People foolishly say “If only the doctors would see my illness as an illness” not realizing they exist in a false prison. Doctors should not stop you from treating yourself. You are sovereign over your body. Never let them rule.