If the vaccines are killing people, 2022’s numbers are probably going to be worse. From Igor Chudov at igorchudov.substack.com:
This is in line with many other estimates
A new peer-reviewed study by Mark Skidmore was published in a prestigious journal.

It commissioned a survey that asked people several questions about their Covid and vaccination experience. The survey was conducted during the previous winter, so it is based on 2021 experiences.
It estimated, based on responses provided, that Covid vaccines killed 278,000 Americans:

The authors use a reputable polling company Dynata.
The sample was obtained by Dynata, the world’s largest first-party data platform, and is representative for the US American population [6]. The sampling using Dynata is based on opt-in sampling, respondents deliver high quality data, they are diverse and have community norms of honesty and accuracy [7]. The survey was opened to the Dynata panel until the required number of responses was obtained from each category of the stratification variables age, sex, and income, as required for a balanced response set.
The article demonstrated the authors tried to do a good job and controlled for confounding variables. For example, do political views or vaccination status create a bias in reporting vaccine deaths? It turns out that, indeed, they do:
Estimated nationwide COVID-19 vaccine fatalities based on the Democrat, Republican and Independent subsets are 109,564, 463,444 and 247,867, respectively. With the vaccinated and unvaccinated subgroups, estimated COVID-19 vaccine fatalities are 110,942 and 659,995.
This discrepancy suggests that the estimates of the total number of vaccine fatalities cannot be very precise, and the authors point that out very honestly.