Any rule that schedules anything may not work after a reboot. Also anything that should have been scheduled during the power failure may not work until the next day. It gets very screwy with anything scheduled around sunset and sunrise since the schedule schedules those events happening before sunrise tomorrow at sunrise today. I had a similar question about a DB restore which caused similar issues so I think it would still apply here.
Bottom line, if the hub isn't on 24/7, scheduled things might now work for 24 hours. The only way around that is to go into the rules and hit "done" to update them.