It should be. Mind you we run NTBACKUP with batch files to print off the logs and email the users as a scheduled task with a user account. Most of the servers aren't logged in on the sites we deal with.
I've seen tasks scheduled and created by Antivirus and Update processes created under "SYSTEM".
I do believe though the procedure was a slight bit different to use the "SYSTEM" account. There is a password involved but I don't believe you ever type it in. I'd just search for that.
I do know that typically the task will not run if the password is blank.
Well all else fails, make an offering to the computer gods. Preferably in small unmarked bills.