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There are certainly vaccine-related cases of myocarditis and deaths that are missed by current US surveillance, just as we know many many COVID deaths are missed. A lot of drama has occurred over just how many cases are missed. The data suggest not many.
Some of this result is confounding, but the gap is enormous and consistent throughout the pandemic. In fact, sicker people are more likely to be vaccinated. Nuanced observational studies that do their best to control for confounding have also supported hybrid immunity.
https://twitter.com/davidzweig/status/1607391677739634689

So irrespective of internecine twitter drama, I think the good and bad of the pandemic would have unfolded in roughly the same way!

And here's another important study examining immune system changes post-COVID. I've removed labels and p-values. Which columns are healthy controls, Long COVID, and fully recovered from COVID? Which of these findings are statistically different? 



Study after study has shown that excess cardiovascular deaths during the pandemic are linked to COVID deaths. See how they rise and fall in near-lockstep. That is why most excess cardiac deaths should be attributed to COVID. 