That will probably work for the boosters, though they may still need socialized infrastructure and it may become a major thing.
I do not think most people in the country get flu vaccines. And the way my various offices have all done it, they have a few days and it’s free and everyone goes and lines up. There is no infrastructure, just a provider comes and gives a few hundred shots.
But COVID19 is different, we need something like 70-80% of our population to get it to achieve a strong herd immunity, and the more people who get it, the faster we slow down the rate of mutation, though already in the wild mutations will still be there. Some I those mutations may require the later, many will not.
It is an entirely different thing than flu. Amongst my friends, most people mean well but just do not get around to getting the flu vaccine, though this year many people were good about it in my circles.