Some tried, but yeah, mostly it's been suppressed by politics: The MATH+ protocol would've cut the death rate to about 1/3 what it currently is, but it isn't well-known because of artificial controversy over some of the drugs it uses.
Of course failing to target men more heavily was not as egregious as making it available to essential workers at the same time as older people to create more racial equity in who got the vaccine. Even though the CDC figures said that targeting older people first would have saved more lives, and even more minority lives. See https://reason.com/2020/12/18/vaccine-cdc-essential-workers-... for more on that topic.
And, of course, a lot of people simply showed up, said they delivered for DoorDash, and got the vaccine. Knowing that nobody would check up on them.
There is an element of sometimes ugly politics to this. :-(
As well, this is analysis after the fact, and not at the time of the decision making - totally different.
So parent is emphatically wrong.
The grandparent comment is more strongly stated than I would agree with. But not wrong.