That would be quite stupid. Because if the risk of the disease is low, vaccines does not make sense when you do risk/benefit calculation.
Hence the people should know about the cases.
Of course, instead, if you are looking to push vaccines no matter what, you would say something like
>The only metric the public should be concerned about is whether they have or have not been vaccinated.
The risk of symptomatic illness is low if you are vaccinated. The risk of symptomatic illness is high if you are unvaccinated. The risk of death is high if you are unvaccinated and have pre-existing conditions and are under the age of 65. The risk of death is very high if you are unvaccinated and over the age of 65.
If the no of cases is nearly zero, that means the virus is no longer dangerous, so it does not really matter at that point.
As vaccination efforts have rolled out, there is still a relationship between positive cases and deaths, however the ratio of cases to deaths has dropped dramatically.
If you Google "uk covid cases" and flip between new cases and deaths you will notice that the "2nd wave" in December/January had an increase in deaths 2 weeks after the increase in cases. The "3rd wave" has had a large increase in cases but no resulting massive increase in deaths.
The only metric the public should be concerned about is whether they have or have not been vaccinated.