1. There are a lot of people that believe they already had Covid, but actually didn't.
2. A "vaccinated or recovered" policy is even harder to enforce, as there are vaccination certificates but no recovery certificates. (Yes, vaccination certificates can be faked, but it seems likely to me that a significant part of the population would be willing to lie but not falsify documents.)
On the contrary, all the big datasets show clearly a long lasting, low risk of reinfection for the recovered. Here, I include an actual dataset (https://www.medrxiv.org/content/10.1101/2021.03.06.21253051v...) unlike "Virologist Sabra Klein".
What is different about Coronavirus?
I think we’re done playing this game as a society.