The rooms board is the one screen reception and housekeeping both read, so it has to mean the same thing to both. A departure that has not been cleaned is not sellable; a room somebody is mid-way through is not either.
Vestibel derives the queue from what actually happened. Closing a party frees its tables and moves its rooms to cleaning; a completed checklist moves the room on again. Nobody types a list, so nobody has to remember to update it.
Checklists record what was done rather than that something was done — a stage at a time, with the housekeeper attributed. That distinction is what makes a guest complaint about a missed bathroom answerable.
Housekeepers work from their own phones through a station view, so there is no hardware to buy and no shared device to fight over.