All you have to do is look at a deaths/infections curve before and after mitigations.
https://slatestarcodex.com/2020/05/18/coronalinks-5-18-20-wh...
https://www.medrxiv.org/content/10.1101/2021.07.28.21261286v...
https://www.ft.com/content/6bd88b7d-3386-4543-b2e9-0d5c6fac8...