So we had three servers, including the control panel server, become responsive at midnight on our Enhance testing stack. The entire web server was dead, although the servers were reachable from SSH. Not being able to get into the CP was a bit of a problem.
After spending a couple minutes of head-scratching it was figured out that that all three of the LiteSpeed trial licenses had expired. Getting the services back running was pretty simple at that point using 'appcd-cli 127.0.0.1 change-webserver apache' to switch out of LiteSpeed and back to Apache.
As a feature request it would probably be a great idea to failover to Apache automatically to prevent loss of access to the control panel. Or perhaps running the admin control panel on a custom port and on apache by default.
Just a thought.