There's a bug that makes it show "Booted in 0 minutes". This only happens on games where booted players are configured to turn into AIs.
This bug will be fixed in the next release. See http://warlight.net/Forum/Thread.aspx?ThreadID=2923
The bug just makes it show the wrong duration. Everyone that got booted really was over the boot time, it just isn't showing it correctly when they're changed into AIs.