If COVID-19 vaccines cause significant numbers of deaths, as many have claimed, then we should expect to see that vaccinated individuals have a non-COVID-19 mortality rate that is higher than unvaccianted individuals.
However this is no the case. In addition to having lower COVID-19 mortality (see Effectiveness vs Death), COVID-19 vaccine recipients actually have lower non-COVID-19 mortality and SIGNIFICANTLY LOWER ALL-CAUSE MORTALTIY.
A large population study from Indiana involved over half a million people that compared vaccinated (≥1 dose) with prior infection and no vaccination. Vaccinated had 36% lower all cause mortality, 24% lower ED visits and 37% lower hospitalizations
"The 10 most-vaccinated states had excess all-cause mortality comparable with or less than that of several peer countries over Delta and Omicron combined (eg, Denmark, Germany, the Netherlands, Austria, Italy, Finland)... From June 27, 2021, to March 26, 2022, the US would have averted 266 700 deaths if US excess all-cause mortality rate matched that of the 10 most-vaccinated states."
Based on US county level case surveillance and vaccine administration data, "A 10% improvement in vaccination coverage was associated with an 8% (95% confidence interval 8% to 9%) reduction in mortality rates and a 7% (6% to 8%) reduction in incidence.
"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."
"A study of 11 million people found no increased risk of death among COVID-19 vaccine recipients"
A cohort study of 19,625 nursing home residents found that those who received an mRNA vaccine (Pfizer-BioNTech or Moderna) had lower all-cause mortality than did unvaccinated residents.