https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8671645/
As always, I'll defer to real expert evaluation of the work, but my hunch is that the paper will be poorly received when that happens.
“During December 2020–July 2021, COVID-19 vaccine recipients had lower rates of non–COVID-19 mortality than did unvaccinated persons after adjusting for age, sex, race and ethnicity, and study site.”
You're selecting for people who care less about health at all costs.
Different group, but I'd expect anti-lockdown/restriction people to have higher non-covid mortality as well. I'll probably die on some old arse biplane in the Siberian outback. Or maybe a brand new STI. Beats plugging myself into Meta.
In my view if you're skeptical of government (a problem not unique to USA), you're more likely to distrust the vaccination push, grasping at any conspiracy theory about why there's more to it than the government acting in your interest. So cause and effect are really flipped, for most people - they think cause: govt pushing the evil vaccine, effect: they distrust the govt, but in (my perceived) reality, cause: they distrust govt, effect: they think the vaccine push is evil and has ulterior motives.
And sure if you're vax-skeptical you can cite all the bad side effects and deaths, but I think the numbers speak for themselves, hundreds of millions vaccinated and there hasn't been tens of thousands of deaths; the vaccines are safe!
Of course those who distrust governments can claim the numbers are being fudged...