logical assumption is just an assumption.
Mind you, these are generated from in vitro studies. But we don't know how protective natural immunity is YET
https://pubmed.ncbi.nlm.nih.gov/34103407/
Antibodies elicited by mRNA-1273 vaccination bind more broadly to the receptor binding domain than do those from SARS-CoV-2 infection
https://directorsblog.nih.gov/2021/06/22/how-immunity-generated-from-covid-19-vaccines-differs-from-an-infection/