I thought the universal solution was a chute for rubbish to be thrown down ultimately landing in an external bin outside the bottom of the building?
In contrast, a fire chute is basically a giant convection tower that should spread smoke and heat across all the higher floors of a building immediately.
Make bigger trash chute doors, better bags, and smarter people, then trash chutes work. #1 is doable, #2 is hard because it's always a race to the bottom, and #3 is impossible.