The ability for teachers to force submit would be a nice option for assignments, test/quiz, and new assessments. That way when a 'drop dead' due date hits, the teacher can submit the assignment and grade whatever is (or is not) there. That would also eliminate overdue items showing up for students that can no longer be turned in for a score. This can sort of be done using timed Test/Quiz but not for other school work.
Teachers - to be able to grade partially completed, but unsubmitted work.
Students - Removes overdue items but can also result in getting some points for partially completed work versus no points because nothing was submitted.
Parents - Similar to students, plus parents hate seeing months old 'overdue' work.
Admins - The extra points students might gain from this can help with overall course grades and eligibility.