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No not really, since there are other studies that answer the question of vaccine safety and effectiveness in the more emergency scenario of <= Nov 1 2021.

Spoiler: They were also extremely safe and extremely effective then, too.

You can see it unambiguously in county-level excess mortality metrics split by political affiliation in the US. The anti-science right wing political sphere gave us a natural experiment that produced very clear results: lots of people dying before vaccines, then across the board death reduction after vaccines, then a red-blue bifurcation later on, after vaccines were politicized.