Those deaths reported through VAERS are just the number of people who died after being vaccinated, not that died because of vaccination. Those are two different things, which if you've read the CDC source you cite I'm sure you're aware.
The CDC investigates these report and say they have only established a causal link to a handful of blood clotting cases as a result of the J&J vaccine. All the other deaths were unrelated to vaccination.
We have a similar reporting system in the UK. Their investigation of deaths following vaccination says that “review of individual reports and patterns of reporting does not suggest the vaccine played a role in the death”, again with the caveat that a small number of deaths are associated with blood clotting.