https://pmc.ncbi.nlm.nih.gov/articles/PMC9047157/
"Conclusions: Naturally acquired immunity confers stronger protection against infection and symptomatic disease caused by the Delta variant of SARS-CoV-2, compared to the BNT162b2 2-dose vaccine-indued immunity."
https://www.cdc.gov/mmwr/volumes/71/wr/mm7104e1.htm
"What is added by this report?
During May–November 2021, case and hospitalization rates were highest among persons who were unvaccinated without a previous diagnosis. Before Delta became the predominant variant in June, case rates were higher among persons who survived a previous infection than persons who were vaccinated alone. By early October, persons who survived a previous infection had lower case rates than persons who were vaccinated alone."
"That was, and remains, completely false."
Would you like to amend your claim? You might have an argument if you stick to "could have been false for short periods of time after people were freshly vaccinated", but otherwise that's pretty indefensible.