@andreas-doehler Thank you very much for your response!
I now updated to Checkmk Community (formerly Raw) v2.4.0p32 and see not the correct option:
Then I configured the status of the Checkmk services like this:
All pending changes applied.
Then I stopped a container. This still results in the container reporting like this (Check_MK in WARN state):
However, if I click the hostname “sqlbak” on that page, I see (Host is still in green UP state):
My main goal is to show hosts (which represent Docker containers) in a non-green, non-UP state. What am I missing?