When people schedule tasks, often they do not complete all of them that day. Then they must manually update the task dates, which is a tedious job.
I suggest a checkbox that allows for automatic updating of the 'Today' to the current day, instead of making it Overdue.
This is especially useful for personal tasks or team tasks that don't have strict deadlines, but need to be on the list of Todo Today.
(Note: priorities should be treated separately, because in all tasks scheduled 'Today' the priorities have their own usefulness in sorting and filtering.)