The National Academies have a set of recommendations for the priority of vaccine distribution. Upshot is that it's going to mainly be high-risk people like healthcare workers and folks with severe risk factors first.
Surprised to see "previously had covid" isn't on the list of criteria. Given that 30%+ of US will have had it by then, makes a big difference in early days of distribution.
I do think they should eventually get it but they should be back of the line.
https://www.nationalacademies.org/our-work/a-framework-for-e...