Based on the record of the pharmaceutical industry and their entirely captured regulatory agency, the FDA, it's not entirely unwise to wait about ten years after the introduction of a 'breakthrough drug' to see if it actually has negative side effects that were not discovered in the clinical trials. See Vioxx, etc. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC534432/ > "Dr Graham, associate director in the FDA's Offi…
By your own logic, we don't know this, because these vaccines haven't been in use long enough.