If you're in one of those school districts that still puts one or two school days in the week of Thanksgiving, then your kids don't regain their eligibility.
According to the side by side, if you get a full calendar week off (Monday through Friday, plus at least two weekend days) then yes, 100% of your kids are eligible for that week. This would count as the described "fall break" in the document.
Letting your ineligibles go to a playoff game is entirely up to you. I can see both sides of the argument - but you get to decide that, or check your local policy.