I’m not sure you’re giving enough weight to just how deeply and thoroughly fractured a high school schedule is. A business day is still about one thing, whatever concerns that business, even if the number of tasks and responsibilities varies greatly. And you don’t leave your desk after working on sales for an hour to then oversee manufacturing, then leave again to drive product around, then leave again to manage health insurance, then leave again to work on design.
I’ve taught in a number of schools with flexible scheduling. I’m not sure I’d call them chaotic. It does work much better than the traditional 7 periods in an inflexible row, but it’s still not as ideal as it could be. (Nothing in school will ever be ideal, but we can get a lot closer than we are now.)