You are simply not good at math. You realize it is possible that the/any vaccine has a 1 in a 100,000,000 chance of causing _insertyourrarediseasehere_. Until you have a couple of billion doses distributed, you don't know if it is statistically relevant or not. At the point in time the statement was made it was entirely correct with the statistics at that time. The fact that it took a lot longer for these rare side effects to be shown underscores exactly how rare they are and makes my point stronger.

The political impact of covid mortality has been presented by a number of researchers, and the effect is undeniably dramatic, there are others as well, but I guess it is all just a big conspiracy:

https://www.nber.org/system/files/working_papers/w30512/w30512.pdf

https://www.axios.com/2022/03/25/coronavirus-pandemics-politics-masks-vaccines-deaths