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My completely uneducated thinking is that you could 'catch' it in the sense of viruses entering your mouth/nose/throat and hanging out there for a while before your own antibodies catch up and get rid of them. In that time you could still be breathing out virus. (Not sure whether virus works that way.)
(Assuming you're immune, which is a bit of an assumption. A few people seem to have got it twice.)
What is the chances of getting covid from someone who has had it in the past?
Maybe he thinks it’s not important because he can’t catch it again? And maybe can’t give it to others?