[Your point is just plain commonsense. Hospitals and clinics communicate amongst themselves regularly. Especially in a crisis. Each hospital and clinic will have someone keeping stats. Not hard to call around and tally those.]
The people working at these hospitals aren’t just medical professionals - they are area people with friends and relatives in the danger zone. You can bet they’re not just figuring out their odds of survival - they’re communicating these numbers to their friends and relatives. Some medicos are probably trying to decide whether they should flee to avoid certain death. Most presumably have families to care for, whether parents or children. And if they think healthy friends and relatives should leave the quarantined zone by hook or by crook to avoid infection and almost certain death, they will tell them.
It might be possible to reduce the virus effect on the patient and increase the probability for survival (the mortality as of now is around 3 %) see
https://www.freerepublic.com/focus/news/3810827/posts?page=27#27