For the Delta variant at least, the latest analysis suggests they are roughly equivalent
In the United States, the issue of whether “natural immunity” from prior infection is as good as vaccination is becoming politicised.
Fortunately, the Office for National Statistics has released results from a sophisticated analysis of its Covid-19 infection survey that address this issue. Helped by test-and-trace data, it identified respondents’ “infection episodes” and used other data to infer whether participants were previously vaccinated, had a previous infection or neither.