In the other thread, I saw it is standard that someone who is wearing a school uniform--outside of school hours, away from school grounds--represents that school with their actions. I would...not appreciate that, as a child, teen or adult. We all do things we may not be proud of, especially when we are young and our think-it-through hasn't developed yet, and I'd have a huge problem being disciplined at school for something that had nothing to do with said school and, perhaps, I'd already been disciplined for at home, or at a store.
As an adult, I have seen people disciplined for conduct while in a labeled uniform or labeled truck while on company business. The only time I've seen someone affected by off-hours conduct is when the conduct is observed, personally, by other coworkers, clients or supervisors. Granted, some jobs may hold off-hours employees to a higher standard, but perhaps that's why I don't have one of those jobs.