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I’m referring to the study that was posted a few days ago that the ‘naturally immune’ were crowing over as proof wild immunity was better than vaccines. IF wild immunity is better, than someone who’s had a double vaccination that then gets a breakthrough is, in effect, getting a booster. :

The authors proposed the following regarding Pfitzer vaccines:
natural infection is better than one shot but wanes over time, which is not defined, but
natural infection with one shot is better than no shot, and
natural infection is better than two shots
T-cell and B-cell interactions may contribute more to immunity than antibody-inducing vaccines alone

When allowing the infection to occur at any time before vaccination (from March 2020 to February 2021), evidence of waning natural immunity by May 20, 2021 was demonstrated but not defined in time

Synopsis of the modeling used by the researchers to come to the above conclusions:

Model 1: natural infection vs 2-shot vaccinated: 16,215 persons each group;
257 cases of infection; 238 breakthrough plus 19 reinfections. zero deaths (1.47% vs 0.12%)
199 symptomatic vaccinated; 8 reinfections (1.2% vs 0.06%)
9 hospitalizations: 8 vaccinated; 1 reinfection
13.06-fold increased risk for breakthrough - caveat: “apart from age 60+” no assessed comorbidities affected risk.
27.02-fold increase in risk for symptomtic - caveat: “apart from age 60+” no covariates were significant

Model 2:uninfected 2-shot versus previously infected: 46,035 persons - zero deaths (1.62% vs 0.23%)
748 cases of infection; 640 breakthrough plus 108 reinfections (1.4% vs 0.23%)
552 symptomatic: 484 vaccinated vs 68 reinfection (1.1% vs 0.15%)
25 hospitalizations: 21 breakthrough; 4 reinfection (0.045%)
5.96-fold increase for breakthrough vs - reinfection - caveat: “apart from SES level and age 60+ that remained significant in this model as well”

Model 3a: uninfected versus 1-shot previously infected 14,029 persons = zero deaths (0.11% vs 0.16%)
0.53-fold decreased risk for 1-shot - based on 20 PCR in 1-shot versus 37 PCR on previously infected.
Given: additional protection for preinfected was gained from a single dose
39 symptomatics: 16 1-shot; 23 previously infected (0.11% vs 0.16%)
1 hospitalization: 1 previously infected

Model 3b: previously infected vs 1-shot previously infected
0.68-fold decreased risk for 1-shot