The PCR test is basically a random number generator.

But when there are more vaxed in the hospital than unvaxed, the narrative has to change.

Only a couple options:
1) Declare victory, have a ticker tape parade for the heroes of the vax rollout, and switch the news cycle to something else.
2) Have the media stop reporting almost entirely on the vax status of people dying in the hospitals (the current U.S. answer). This allows you to keep up the COVID-is-deadly narrative for a couple months, maybe, but it is unsustainable over the long term and you will be plagued by leaks from docs, nurses and experts telling the public of the large numbers of the vaxed that are hospitalized and/or dying.

SARS and MERS just sort of disappeared. It happens with coronaviruses.

Bottom line is: when the unvaxed reach heard immunity, the narrative has to change. It has to.