Yet we managed to publish papers on myocarditis[1] whose incidence rate is reportedly 1900 (or fewer) cases per 190 million individuals. If you look up the numbers that triggered the concerns and walking back of recommendations, they are quite small. There's much we won't know for a long time, but the idea that we can't detect statistically significant trends of concern, much less large ones, is demonstrably untrue.

[1]: https://jamanetwork.com/journals/jama/fullarticle/2788346