Two different problems for two different groups of people. Policy makers and individuals want to focus on infection rate. Lower infection rate = less spreading

Two different problems for two different groups of people. Policy makers and individuals want to focus on infection rate. Lower infection rate = less spreading = less trips to the hospital = the society is "winning" Hospitals and doctors want to focus on death rate. At the point they get a patient, they are already infected. They want the lowest % of people possible to die, to show that their care is working. Neither effort is in conflict with each other, and can be near perfectly parallelized. I.e. the hospitals trying a new medicine to lower death rate has no impact on a region trying to lower infection.