That 6,000 figure you use is 0.0018% percent of people that got the vaccine, and that's only people that died after getting it, not people whose death was caused by the vaccine. [0]
Vaccination seems sensible from any concern for personal health (again, unless you have access to some data I've not seen). Even for very healthy individuals at low rist of death from COVID-19, you're taking on not only higher personal risk but also exposing other people to much larger risk, as well.
Also, I've gotten the flu shot every year I could since age 16 primarily to avoid infecting others. (There was no family or peer pressure to get the flu shot, at least where I'm from.) I'll grant that I'm a bit more invested in public health / disease spread than the average individual, but I doubt my motivations are that uncommon.
[0] https://www.cdc.gov/coronavirus/2019-ncov/vaccines/safety/ad...