Given the Enormous Volume of professional discussion on these matters, what's the purpose of rehashing that question here? Do you expect an expert viral epidemiologist to jump in and provide a new angle on the discussion?
sar2[covid19] can be carried in the nasal vault by persons vaccinated or persons of naturally aquired immunity
vaccinated persons may have a breakthrough infection; or go on to spread to others.
<<If they are then what is the purpose of getting the vaccination>>
the vaccination gives you an edge on the virus from the start; meaning prompt immune response, not having to wait until an antigen is perceived in order to develop antibodies, reduced severity of illness, and squelching of viral reproductive cycling