No such study exists, please link to the primary research. Vaccination always offers stronger protection than getting the virus [1], and more importantly, even if they offered equivalent protection for 99% of people, the portion of the additional 1% of people without a vaccine who show up at a hospital are going to be much sicker than the vaccinated with breakthrough infections and more likely to need to go or stay at a hospital for an extended period of time (29x more likely [2]), which our healthcare system cannot support. We've had to ration care and kick out cancer patients out of hospitals [3], who have subsequently died as a result of lack of care, but we should allow for limited resources to be used up by the willfully unvaccinated? I have personally had family members in need of critical care have care rationed due to hospitals being full with 99%+ unvaccinated folks. So much for the personal responsibility crowd living up to their slogans.
[1] https://www.cdc.gov/media/releases/2021/s0806-vaccination-pr... [2] https://www.cnbc.com/2021/08/24/cdc-study-shows-unvaccinated... [3] https://www.charlotteobserver.com/news/local/article25394605...