You're actually wrong about this. The Washington state department of health reports:
https://www.doh.wa.gov/Portals/1/Do...-tables/421-010-CasesInNotFullyVaccinated.pdf
COVID-19 Cases, Hospitalizations, and Deaths by Vaccination Status
November 24, 2021
Summary
Unvaccinated 12-34 year-olds in Washington are
• 5 times more likely to get COVID-19 compared with fully vaccinated 12-34 year-olds.
• 14 times more likely to be hospitalized with COVID-19 compared with fully vaccinated 12-34
year-olds.
Unvaccinated 35-64 year-olds are
• 5 times more likely to get COVID-19 compared with fully vaccinated 35-64 year-olds.
• 18 times more likely to be hospitalized with COVID-19 compared with fully vaccinated 35-64
year-olds.
Unvaccinated 65+ year-olds are
• 5 times more likely to get COVID-19 compared with fully vaccinated 65+ year-olds.
• 10 times more likely to be hospitalized with COVID-19 compared with fully vaccinated 65+ year-
olds.
• 9 times more likely to die of COVID-19 compared with fully vaccinated 65+ year-olds.