Wrong. Studies of antibody and T-cell responses don't say anything about
actual reinfection rates. There is much more to immunity than what we think we know, and we don't have good data yet for reinfection with omicron.
Comparison of Infection- and Vaccine-induced Immune Responses
"A systematic review and meta-analysis including data from three vaccine efficacy trials and four observational studies from the US, Israel, and the United Kingdom, found
no significant difference in the overall level of protection provided by infection as compared with protection provided by vaccination; this included studies from both prior to and during the period in which Delta was the predominant variant [79]. In this review, the randomized controlled trials appeared to show higher protection from mRNA vaccines whereas the observational studies appeared to show protection to be higher following infection.
A more recent analysis of data from a network of 187 hospitals in the United States found that, among more than 7,000 COVID-19–like illness hospitalizations whose prior infection or vaccination occurred 90–179 days beforehand,
there was a 5.5 times higher odds of laboratory-confirmed COVID-19 among previously infected patients than among fully vaccinated patients [80]. This study included data on persons more recently infected and/or vaccinated than the studies in the systematic review, though the authors noted one limitation of the design was the potential of missing testing that may have occurred outside of the healthcare network.
The Office of National Statistics in the United Kingdom used data from a large-scale longitudinal community survey of COVID-19 to compare the risk of infection among fully vaccinated, partially vaccinated, unvaccinated/previously infected, and unvaccinated/uninfected persons during two different periods 1) when Alpha was the predominant variant (December 2020–May 2021) and 2) when Delta was the predominant variant (May–August 2021) [81]. Based on results that included over 26,000 RT-PCR positive tests,
they found full vaccination to provide the greatest protection during the Alpha predominant period (79% vs. 65% reduction in risk), but equivalent protection from full vaccination and infection during the Delta predominant period (67% vs. 71% reduction in risk)."
https://www.cdc.gov/coronavirus/2019-ncov/science/science-briefs/vaccine-induced-immunity.html