Of course it will save lives (and lessen severity overall and hospitalizations). Didn't you see the links on the relationship between vaccination status and hospitalization? Here is a study out of Malyasia published in Lancet (pretty much the gold standard for medical research):
https://www.thelancet.com/journals/lanwpc/article/PIIS2666-6065(21)00263-7/fulltext
Key finding:
"The total ASMRs for the unvaccinated group (47.5 per 100,000 population) were 43.2 times and 12.5 times higher than the ASMR of individuals fully vaccinated with BNT162b2 (1.1 per 100,000) and inactivated vaccines (3.8 per 100,000), respectively." ASMR is age standardized mortality rate.
And here is a study just released by the Washington (state) department of health:
https://www.doh.wa.gov/Portals/1/Do...-tables/421-010-CasesInNotFullyVaccinated.pdf
Key finding:
Summary Unvaccinated 12-34 year-olds in Washington are • 2 times more likely to get COVID-19 compared with fully vaccinated 12-34 year-olds. • 5 times more likely to be hospitalized with COVID-19 compared with fully vaccinated 12-34 yearolds. Unvaccinated 35-64 year-olds are • 3 times more likely to get COVID-19 compared with fully vaccinated 35-64 year-olds. • 8 times more likely to be hospitalized with COVID-19 compared with fully vaccinated 35-64 yearolds. Unvaccinated 65+ year-olds are • 4 times more likely to get COVID-19 compared with fully vaccinated 65+ year-olds. • 7 times more likely to be hospitalized with COVID-19 compared with fully vaccinated 65+ year-olds. • 13 times more likely to die of COVID-19 compared with fully vaccinated 65+ year-olds.
Lockdowns work as well. The problem with lockdowns now is that herd immunity is no longer an obtainable goal with Omicron. So what some societies are doing is selectively using lockdowns so that they can slow the rate of Omicron spread so that their hospitals aren't overwhelmed. But it looks like Omicron is so contagious that it cannot ultimately be stopped, only spread out to lessen the impact over time.
Now, you asked about why the vaxxed worry about the unvaxxed. For a number of reasons. First, a hospital bed given to a COVID patient cannot be used for something else. Second, small children cannot be vaxxed yet, and although their symptoms are typically mild, they can be severe. Third, treating people with COVID in hospitals is a big drain on the health care system. And finally, nobody wants to see anybody be sick with COVID, especially not in hospitals or dying. It's for the most part avoidable.