> you mean only data comparing outcomes in placebo versus vaccine groups?
I concede it may be the only data comparing death rates in two randomly selected groups, but I completely contest that I "[was] shown evidence that the original claim was correct". I came into this thread to argue whether "these vaccines had saved lives", and a point we used to as a litmus test for that was if "death rates [due to COVID] differed in proportion between a fully-vaccinated population vs. a partially or unvaccinated population".
Therefore, if you were to show evidence that the original claim was correct, you would prove that litmus test. Instead, two data points were provided: a Moderna study where 4/~15k people died in both a vaccinated and placebo population, and a Pfizer study where 2 vaccinated died and 4 placebo died in a population of 20k. In the Pfizer case, it is especially unclear to me these deaths are related to COVID at all in either population [1];
I certainly have conceded this is a piece of evidence towards your argument, but I continue to believe the onus of "proof" in this case continues to fall to you, as multiple large pieces of evidence point to drastically better outcomes when infected as a fully vaccinated person vs. an unvaccinated, alongside other pieces of evidence showing reduced transmission to and from infected individuals. Therefore given the high infection and relatively significant mortality of the disease we already have these attributes to tell us that as time goes forwards it is virtually guaranteed that "deaths in unvaccinated populations will rise to a level proportionate to IFR and population size", while that outcome seems not true for vaccinated populations. Therefore it seems clear the null hypothesis is that the vaccine saves lives, because it would defy our intuition and known population effects were that to be false. Therefore two data points on small populations in the relatively distant past without associated mechanisms are not enough to prove the original claim correct without significant amounts of further evidence.
I also concede that perhaps in some sense these studies should have continued, and that it may be easy to take this discontinuation as a signal of dubious value of the vaccines; I personally hold that given the other data points at hand they became completely unnecessary and don't show anything statistically significant at all talking about total death counts on the order of 10.
[1]: https://www.fda.gov/media/144246/download#page=50