nope that having had Covid delivers a more robust varied and longer lasting immunity. But there are so many variables. Primarily someone's health status being so important to not only the Covid outcome but also to the immune response to a vaccine Zero messaging about these things, just the magic bullet of a vaccine. This is my real gripe that it's a one dimensional solution approach.
The messaging issue is a political failure, not a health failure, our ability as a society to consider things for the most part is shot, most people are frighteningly stupid.