If you're in All Star Movies you have a 0% chance. They don't have family suites.
If you're at music I'd say your chances are very low and thats probably being gracious. Those rooms are almost double in cost and its still a busy time of year.
I thought only Sport's food court was closed during that time period?
Beyond that, I highly doubt that any closure would result in free upgrades. If you really want the upgrade, you need to book it and pay for it yourself.
There are no family suites in Movies, only in Music. The Music food court will not be out of commission. The Sports food court will be closed and busses will be bringing guests to Music and Movies for hot meals. We will be at Music at the same week as you and certainly expect the food court to be a lot busier (am planning breakfasts and some simple lunches in the room for that reason) but an upgrade to a suite free of charge is unreasonable. Even guests from Sports who will be inconvenienced the most do not get any freebies. Have a great trip.