You are posting a Kentucky study from May–June 2021. The very strongest time of antibody protections, just before they began to wane.
The CDC study was even more cherry picked and does not show that vaccine immunity is stronger regardless of the headline.
Experts identify potential bias in CDC natural immunity study
Despite the conclusion one might draw from Walensky’s tweet, the CDC study isn’t designed to answer the question of whether vaccine immunity or natural immunity is superior. Harvard Medical School professor Martin Kulldorff, an epidemiologist and biostatistician who now serves as senior scientific director of Brownstone Institute,
writes that the study instead answers the question of “whether vaccination or Covid recovery is more related to Covid hospitalization or if it is more related to other respiratory type hospitalizations."
...
There is both a relationship between being vaccinated/recovered and Covid hospitalization and a relationship between being vaccinated/recovered and non-Covid hospitalization,” Kulldorff continues. “Rather than evaluate the first one, which is of intense interest for health policy, the CDC study evaluates the contrast between the two, which is not particularly interesting.
The CDC study also appears to conflict with a major
Israeli study from August. That study showed unvaccinated people with natural immunity had far greater protection than vaccinated people without natural immunity. Specifically, the vaccinated group was 13 times more likely to experience a future infection and 27 times more likely to experience a symptomatic future infection.
https://katv.com/news/coronavirus/experts-identify-potential-bias-in-cdc-natural-immunity-study