I can blame two people for two separate problems.

Agree it is a function of a broken healthcare system as well. That said, vaccination rate and bed capacity are two different issues with separate timeframes to scale up. Adding a meaningful capacity to hospitals takes time - educating more doctors, nurses, buildings, equipment. The capacity for vaccinating everyone is already there, which, given adoption, would avoid over utilisation of beds. I would argue keeping people out of hospital is a better outcome than adding capacity for hospitalisations that could easily have been avoided.