Natural immunity comes with a ~9x greater risk of hospitalisation, again from Covid itself. There's effectively no risk from the vaccine, again with hundreds of millions of doses administered.
Among adults aged 65–74 years, effectiveness of full vaccination for preventing hospitalization was 96% for Pfizer-BioNTech, 96% for Moderna, and 84% for Janssen COVID-19 vaccines; among adults aged ≥75 years, effectiveness of full vaccination for preventing hospitalization was 91% for Pfizer-BioNTech, 96% for Moderna, and 85% for Janssen COVID-19 vaccines.
https://www.cdc.gov/mmwr/volumes/70/wr/mm7032e3.htm
Note that "natural herd immunity" doesn't come without a near-total population infection rate, with a large number of deaths, prolonged medical care, and long-term health consequences. The vaccine-based risks are far, far, far lower.
There's also quite likely a much higher likelihood of long-term Covid symptoms or consequences.
This information is interesting, but a poor basis on which to shift policy from vaccination to infecting the entire population and blessing the survivors.
Update: the article is also a dupe of an earlier substantial discussion: https://news.ycombinator.com/item?id=28307224 (260 comments).
US CDC reports an 0.0016% fatality rate from all causes for vaccinated individuals. That's 100x lower than the incident fatality rate of 0.1% suggested by multiple countries with excellent Covid surveillance and reporting systems. Note that many early vaccine recipients were elderly (65+) and would have a higher natural death rate than the general population.
https://www.cdc.gov/coronavirus/2019-ncov/vaccines/safety/ad...
I've clarified the vaccine vs. natural infection risks based on criticism of unclear language.