Those links support the statements that I made. Let's take the fourth as an example: "A new study by Public Health England (PHE) has shown that one dose of the COVID-19 vaccine reduces household transmission by up to half."

Read that, slowly, now go back and read my comment. Do you not understand the difference between the words "prevent" and "reduce"?

Prevent means it isn't possible. In this context, it means that if I have a vaccine, and I catch COVID, the vaccine makes it impossible for me to transmit COVID [prevents transmission] to someone else.

That is NOT the same thing as "reducing" its ability to transmit. Do you sincerely not understand the difference between reducing something and preventing it?