If you use the "Exit from Care" feature, and select "PATIENT DIED" as the reason, the result is that the entire patient header turns red and section/tab coloring turns grey. There is also a red message at the very top of the screen indicating "This patient is deceased...".
If you instead go to "Demographics - Edit this patient", and mark them as deceased (with date and reason), this only leads to the top message at the top of the patient dashboard reading "This patient is deceased...". It does not cause the header to turn red or the section/tab coloring to turn grey.
This likely represents a data problem/inconsistency between these two approaches and needs to be investigated.