I don’t think that’s true. I live in Connecticut, my sister in Utah, and I kept a close eye on the stats for both states for months. The data I observed was contrary to a per capita distribution.
For the first couple months of the rollout, states were ranked by percentage of distributed shots that had actually been put in arms. I was checking the rankings multiple times a week, where Connecticut was consistently in the teens and Utah was consistently top 3, or at worst top 5 out of all states. Seriously, Utah was crushing it. These rankings held consistent for months.
After several months the rankings switched from % of shots in arms to % of population that had been vaccinated, presumably because enough people had been vaccinated that those numbers wouldn’t be super depressing anymore. With the switch, Connecticut shot up to top five or top 10 while Utah plummeted to bottom 3.
If shots were really distributed per capita, Utah should have maintained its top five status when the rankings switched from percentage of distributed shots administered to percentage of people vaccinated. Since Utah immediately dropped from top five to bottom five, the only logical conclusion I can see is that shots were distributed based on per capita basis that factored in how many people would willingly take the shot if available. And if so, whoever calculated that percentage of willing population for Utah knocked it out of the park.
I think you or they have the details confused. I’m in Connecticut, and I can definitively say that the situation you describe in a vacuum did not happen.
It was likely one of those situations where people didn’t show up for their shots and instead of throwing shots away, they instead gave them to any warm body they could convince to take it. In those cases, a 20-year-old absolutely could have strolled in and gotten a shot while a 60-year-old was still fighting with 70-year-olds to get scheduled.
But to extrapolate that out and imply that was the policy in Connecticut is deeply misleading.
EDIT: My experience as a 50-year-old was that I became eligible in late March, got my first shot 4 days after becoming eligible, during which they scheduled me for my second shot exactly 4 weeks later. (Connecticut mostly had Moderna.)
When I went back to the same place to get the second shot in mid-April, there was a sign on the main road that said walk-ins were available.