Yep and the vaxx(s) are for those w/o a prior infection/”naturally immunity”. Esp. elderly and “high risk” who want higher levels of “B Cells”, “T cells”, “S cells” and antibodies to COVID-19. You got it!
Further info. on “immunological memory cells” (T-cells), and B cells, S-cells & antibodies:
https://www.science.org/doi/10.1126/science.abf4063
https://www.nature.com/articles/s41577-020-00436-4
https://nymag.com/intelligencer/2021/12/omicron-dr-paul-offit-is-skeptical-of-boosters-for-all.html
Dr. Paul Offit discusses the effective length of protection of these “helper cells” briefly in this video: