If the problem in Germany is anything like in Sweden, then the issue is not that "people don't want to do a job where you have to watch people die". It is 100% a lack of funding and poor management.
In the last 20 years the standard "joke" (ha ha, only true) about the universal health system is that you need to be in good health in order to have enough energy to fight for your right to get help. The health care debt was an all time high at the start of the pandemic, and has since sky rocketed.
The faults are many. Poor wages has create many empty seats at the university programs. A lack of available personal has created a demand for labour hire employees, creating a system where many are moving to those in order to get pay rises, furthering increasing the cut that the middle men takes. An sharp increase in populations has increased demand, without any corresponding supply or funding. Employees has had an increase in paper work, with technology solutions that has caused additional work rather than optimized the work flow. Those same technology solutions has also been expensive to the point of corruptions, with some deals being actually corruptions that gone to court.
The situation is so bad that my own health clinic is sending every patient that calls them on non-mondays to the emergency department, as they are by law required to redirect the patient somewhere and all their own doctors are booked for the rest of the week, a pattern that been going on every week for the last year. Vacations has been removed as an emergency decision at many hospitals, and in one case the "compensation" for lost summer vacation was a fruit basket.
The expected time frame to raise the standard and actually train enough workers, as calculated by researchers a few years ago, was (if I remember right) somewhere around 10-20 years into the future. One pre-panedmic solution was to encourage skilled immigration directly from hospitals of nearby countries, a fix that obviously is not going to work now. If Germany is anywhere similar, then the blame isn't disinformation. It is systemic problem that has existed for decades and is now being pushed to over the edge.