Once or twice can be coincidence, but when there is a strongly held correlation after multiple events in proximity, you can definitely show causation.
From your own link.
37 deaths was enough to get the first swine flu vaccine pulled, and rotavirus vaccine was pulled after a few hundred adverse events and 89 deaths over a period of a few years.
We are well pass the safety signal trip lines in VAERS where the vaccines should have been pulled. And VAERS is widely underused with a URF of 41 because it is so backlogged and hard to use. Also more cases and deaths have been reported to VAERS in 2021 than in 23 years combined by a substantial amount. WHO has also recorded double the adverse events from the vaccines than all its other list of essential medicines have had for the past 33 years.
If VAERS as you say is not a safety signaling tool, then we have no pharmacovigilance in the world and no vaccines should be out on the market.
But that is not the case, so your argument is thus rejected in its entirety. The mRNA vaccines are not safe, don't even work at stopping COVID's spread or hospitalizations and have way too many adverse events to justify their use in a virus that is 99.999% survivable with aggressive early treatment with repurposed drugs or simply just losing weight and getting regular supplements of Vit D and C plus Zinc.
Its a damning indictment of "Western Nations," that the 3rd World has crushed the virus with early treatment and have had vastly lower infection and death rates.