The system where this was observed had stray /etc/rc*.d/*autofs symlinks in place. Not sure why these weren't removed by autofs.postinst on upgrade to trusty, but I've now removed them. I assume this is a sufficient solution to the problem.
** Changed in: autofs (Ubuntu) Status: New => Invalid -- You received this bug notification because you are a member of Ubuntu Server Team, which is subscribed to autofs in Ubuntu. https://bugs.launchpad.net/bugs/1403646 Title: /etc/init.d/autofs confuses upstart To manage notifications about this bug go to: https://bugs.launchpad.net/ubuntu/+source/autofs/+bug/1403646/+subscriptions -- Ubuntu-server-bugs mailing list Ubuntu-server-bugs@lists.ubuntu.com Modify settings or unsubscribe at: https://lists.ubuntu.com/mailman/listinfo/ubuntu-server-bugs