Does Titanium Backup break 'Sleep As Android?
This appears to be because you can schedule backups within Titanium Backup, and when backing up the 'Sleep As Android' app Titanium Backup may/will kill the application in order to perform the backup. By doing this the app will no longer track you sleep or wake you up at the required time. I don't think that simply having Titanium Backup installed will break the sleep tracking.