Did you even read the study you cited as the main source for your post? First, you tell me I misunderstood the data, then that it doesn't exist when it's obviously there. The paper is only about 30 pages with fairly big fonts and plenty of graphs, this is not that long and I even indicated where the data was. And I mean it's one study, there are dozen, all with similar results. So, the data is definitely out there but it's like you don't care to look for it, complain it's not available, and form an opinion with no data. But here it is: previously infected with a single dose are 1.85 times less likely to get reinfected than the previously infected with no vaccine. And as we all know, less reinfection means less transmission and replication, and less opportunity for new variant to emerge. But it is true that many reinfections should not be too severe, at least not if they're not too long after the first one, before the immunity starts waning.
Now, why a single dose, because that's what is recommended by many countries (like France, Germany, Italy...) for people with previous confirmed infection. Several studies show a second dose boosts the immunity even further, but the gains are not so much compared to the single dose. So no, it's not an insignificant fraction of the public, but actually the majority in these countries. But maybe not your country, I do not know.
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