The CDC isn't a primary source. Dr. Toby Rogers started to do a lot of deep dives into CDC data looking at the primary sources and found that he CDC reports themselves are often misleading or wrong. He did an amazing interview on this topic:

https://podcasts.apple.com/gb/podcast/unsafe-at-any-speed-dr...

mirror: https://old.bitchute.com/video/QQfIo75KHII/

mirror: https://open.spotify.com/episode/1Sr3OsGqwfnWMfE7bGT30I