All of these is what "saved the world" not vaccines. The data is vast and obvious, go read it.
Again - Navid you claim to be interested in science and yet you don't give scientific (quantitative) evidence to support your PR.
You posit various possible reasons why the better health results that have come with vaccines might be due to other things. Fair enough. But that does not prove anything, just means you need to look carefully at the data and do science not PR.
When I post exactly that - a paper showing that even counting the other effects vaccines still reduce overall mortality - you go all indignant and ask mods to ban me for posting spin.
Let us (as you say) settle this once and for all:
(1) Yes - I agree there are all sorts of second-order effects that mean vaccines overall many not be as good for populations as the headline efficacy rates imply
(2) Vaccines do however generally give herd immunity, if taken by high percentage of population
(3) Vaccines can induce T-cell response just like infection - those that do are more effective against high mutation rate viruses (and COVID). Modern vaccines do this.
(4) When fair statistical techniques are used vaccines confer strong whole population benefits