Is there a way to prevent auto-shutdown at login screen?

This "feature" seems to have been introduced in OS X Yosemite and has continued through at least OS X El Capitan—and most likely MacOS Sierra. If a Mac is started, and there is no login within a couple minutes, it will shut down.

This is really bad from a remote perspective. Let's say I reboot the machine using ssh—if I don't reconnect and log in within this short timeframe, the computer will shut down, and then I have no way to connect to it. The only way to start the machine at that point is to have someone at the physical location. I've completely lost remote access to my machine for weeks because of this. This is not something that should happen without an option to disable it.

My only known workaround is to log in before it shuts down and then keep that user logged in. Unfortunately, this opportunity may be lost if restarting and connecting remotely with slow internet speeds. This functionality makes it so I cannot depend on an ssh connection to my machine.

Is there a way to prevent a Mac from shutting down automatically at the login screen?