I think we agree on a lot about this report. “Lie” is a little strong, don’t you think? It’s fun to tweak the fact-checkers (like Trump did with his misspellings, etc) and get them to highlight this flawed study. I don’t think anyone believes there was “no increase in mortality” from the vaccine. So which is it, does the vaccine help or hurt mortality? Get the report writers to defend it like you did, and in the process, expose it.
And I don't think lie is too strong a word. The vaccinated population had a lower risk of death by accidents & homicide. If the CDC is saying that "after you get vaccinated" your risk of accidents "drops" then they would be insane and you wouldn't even need to discuss anything else they say. Which is the way this author would like us to react. But they didn't say that. Indeed they specifically said the opposite by referring to the healthy vaccinee effect. So the headline of the article is a lie.