The other important factor is that because your immune system is primed to recognize SARS-CoV-2 after vaccination, even if you do get infected, it responds and clears the infection more quickly than it would otherwise. That could mean you're never infectious, or infectious for fewer days, reducing transmission. Pre-omicron, breakthrough infections were infectious for 5.5 days on average, compared to 7.5 days for infections in unvaccinated people (https://www.nejm.org/doi/full/10.1056/NEJMc2102507). Yes, all this to maintain some semblance of healthcare for society, and to fill up fewer reefer trucks with body bags.