If you expected that, then you probably assumed that other factors remained the same? That isn't the case.
First, countries with high vaccination rates have lightened other restrictions.
Second, countries with high vaccination rates may have many infected people, but few hospitalisations. Where I live, the share of infections that require hospitalisation has dropped by ~80% since the vaccinations started. (The number of infections as a share of population has gone up and down, the share of infections that require hospitalisation has shrunk steadily.)