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> Kentucky residents who were not vaccinated had 2.34 times the odds of reinfection compared with those who were fully vaccinated.

Simple. Not vaccinated != infected previously

Those who are both not vaccinated, and not previously infected, will raise that number significantly.

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The cited study explicitly compares previously infected (not vaccinated) individuals to vaccinated individuals, so your claim is wrong.

However I will say, in a lot of the CDC literature they inconsistently refer to "unvaccinated" individuals in a manner that often does not distinguish between those with prior infection and those who are immunologically naive. I think this has been a major point of confusion for the general public who are trying to interpret the results of such studies.

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