When I look at that paper and compute for the age group 40-59 I come up with these normalized values: infection severe covid rec 0.614 0

When I look at that paper and compute for the age group 40-59 I come up with these normalized values: infection severe covid rec 0.614 0.007 boost 0.253 0.002 vacc 2.272 0.014 rec+vacc 0.271 0.006 (No idea how to do a pretty table) Those are normalized values per person-month-at-risk according to whatever definition they use. I don't know if those numbers are high or low in an absolute sense but they should be comparable across rows. They separate the categories of recovered then vaxxed and vaxxed then recovered but I've combined them in sum here because vaxxed then recovered is quite a low statistics. Perhaps this shouldn't be done but the low statistics also would only impact the conclusion in more of a positive direction. That conclusion is, in the case of a recovered person they were 2-3x less likely to get infected if they went to get a shot after recovery than if they didn't. But protection against severe covid didn't really get impacted.