Natural immunity of an unvaccinated person is superior to a vaccinated person without natural immunity, all else equal, and the difference isn't even close. It concerns me that people still don't accept this.
See https://www.medrxiv.org/content/10.1101/2021.08.24.21262415v... for conclusive proof of this. I don't have my notes on that study in front of me right now but off the top of my head natural immunity was at least 7x superior when compared to people who were double-vaccinated but with no exposure to the actual virus.