COVID-19 Outbreak Information Updates (Reboot) [over 150.000,000 US cases (est.), 6,422,520 US hospitilizations, 1,148,691 US deaths.]

That people who have also had natural infection are more as protected as those who got vaccinated, as now indicated by the CDC.
Specifically and narrowly: Against Delta infection, independent of symptom severity or clinical outcome. The data for the study was collected before Omicron became the near-universal variant.