I'm not the person you're asking, but in general, I would also stay on top of my child's obligations - homework, chores, etc. I don't want the first sign of trouble to be a call from a teacher, or the complete absence of clean clothes for them to wear in the morning.
You don't teach children responsibility by removing yourself completely from that equation
You equally don't teach them responsibility by always being there as the backstop though. I think missing a couple of homeworks is quite a low-stakes thing that can teach them a lot about responsibility, failure, and how to recover from it.
A lot of kids now seem to go into adulthood having never been allowed to fail, and it can really mess them up the first time it inevitably happens.