I'm not sure what you mean by 'logged in', but the tasks ran like they normally do, using credentials that should give them access to the network location. They have been working great, but for some reason, we had network issues yesterday and the tasks couldn't get access to the files.
The tasks didn't report any problems until my last task which sends out an email and displays the content of the notification file. It didn't exist.
Maybe a color indicator other than green to indicate some part of the task's processes didn't work? Since the tasks themselves didn't fail, just the notification part didn't work, maybe a yellow check mark instead of a green?