Are there any building code considerations (e.g., chimney effect for a fire) regarding a multi-floor wiring chase? Isn't this why laundry chutes are no longer permitted in some places?
Non rated cable more easily catches fire and makes a lot of smoke. Plenum rated cable is about twice the price, but ethernet is pretty cheap for a single home.
But the main reason they’re gone now is that people put the laundry on the same floor as the bedrooms in modern homes.