To reinforce this, one of the statistics that the beeb have wheeled out is that in the most vulnerable group being vaccinated (in the UK), aged 80+, one in ten of them will die regardless of covid in the next year. Quoted from "How to vaccinate the world -- Vaccine Hesitancy" [0] from 12 minutes in to 15 minutes. (And because it's BBC sounds, for some reason it randomly skips episodes when I load the page).

The entire series is well worth a listen, data driven and statistics heavy.

[0] https://www.bbc.co.uk/sounds/play/m000qblw

Edit - because the beeb want registration, alternate link: https://podcasts.apple.com/gb/podcast/vaccine-hesitancy/id15...