for instance, the NCAA views having a Covid case in the last 90 days as tantamount to having a vaccination.
From what I can tell, though, there doesn't seem to be the scientific consensus, at least yet, that natural immunity is as robust as the protection given by a vaccine.
https://abc7chicago.com/covid-immunity-coronavirus-vaccines-cdc-study-unvaccinated-people-who-had-twice-as-likely-to-get-reinfected/10935146/