No, they wouldn't have Sydney.
309 million vaccine doses were given in the US as of June 7, 2021. According to the VAERS system, 5K deaths have been attributed to the vaccine.
Now, those 5K have not been confirmed at all. It's just a reporting system.
BUT let's assume that all 5K died because they got the vaccine. That's a 0.0017% chance of death.
Now.
How many cases of covid? 34 million.
How many deaths directly caused by covid? 606,000.
Do some math, Sydney.
The chance of death for Covid is several orders of magnitude higher.