nobody ever claimed this. you are shadowboxing, as usual, with nary a point to make, as usual
somebody who is vaccinated and catches covid, is asymptomatic, never got tested... is still a breakthrough case of covid-19. we already know that the amount of confirmed covid cases is a lot lower than the actual amount of covid cases because of the asymptomatic cases that never get tested. that doesnt change the fact that vaccinated people are less likely to catch even an asymptomatic case of covid-19
the NFL is actually a good case study of this, where they have regular testing for both vaccinated and unvaccinated players, symptomatic or not, and unvaccinated players were far more likely to test positive