Yes, people can do research on their own, and do
I used to be an advocate for people doing their own research for this stuff, but then people started injecting themselves with bleach and horse de-wormer. And that was before search results got sloppified
I'm as gay as they come and think HRT should be accessible to all (as with literally all healthcare), but I agree that it shouldn't be available OTC. Like, this is a class of medication that people desperately want to work for themselves, and there's a great risk of confirming biases and downplaying potential side effects.
There's also massive disinformation campaigns targeting the trans community so this is an especially difficult area to research for DIY and it makes it all the more depressing when that's the only option available to some