Anyone can report anything in those forms. If there was actually 1600 vaccine related deaths it would be pulled immediately.
This system exists so that scientists can examine data and see if there's a causal link between adverse events and or death and the vaccine.
3 million or so people die in the US per year. Some of these people would have gotten the vaccine.
These vaccines only have an effect on covid, they don't prevent any other conditions people suffer from or die from.