windows - Task Scheduler - scheduled task to run as SYSTEM not fire

Following the answer here:

How can I run a scheduled task as SYSTEM

I have created task to be run using SYSTEM account
Task to be run on System account

But it does not start on scheduled time.

When I change it from system to my account it runs without problems

Why? Is it because "Run only when user is logged on" option checked? ( on the scheduled time I am logged to computer ). But this option is greyed - I can not change it.