https://www.medrxiv.org/content/10.1101/2021.08.24.21262415v...
From the article :')
Here’s a direct counter from one of the other studies:
> The CDC researchers found that people previously infected but unvaccinated were 2.34 times more likely to get reinfected than people who were previously infected and fully vaccinated.
And here’s the conclusion of the article:
Overall, the variable immune responses to infection, lower neutralization against delta, and the clear boost in protection from a very safe, highly effective vaccine make a strong argument for vaccinating the recovered.
That's not comparing vaccine vs natural immunity. That's comparing vaccine + natural immunity to natural immunity alone. Not what the question is, even though the framing of the study implies otherwards.
A well cited article that discusses this: https://arstechnica.com/science/2021/10/prior-infection-vs-v...