About 138 million people already vaccinated in the USA (4/25/21)(highly weighted towards the oldest people)(about 42% of US population)...an average of 7,000 people die in the USA per day so about 2,900 people per day will “die after vaccination”.
VAERS will have a hard time keeping up with that volume if all “they died after getting the vaccine” events are reported...not to mention all the “they got/had a (fill in the blank) after getting the COVID vaccine”.
False association; those deaths reported to VAERS will likely be those in a relatively short time frame after the jab.
And your makeshift handwaving does not account for adverse events short of death.
What would be interesting is to parse the VAERS by age group of jab recipient, and by existing comorbidities, if any.