Deciding the schedule would not give her entrenched privilege that she could accumulate and exchanged for other things. For their own enjoyment, the worker might want to collectively decide the menu of a communal kitchen even it was a less efficient use of time. No scheme for managing society will by itself create a new society. Highly democratic, highly authoritarian and mixed schemes are now used to administer capitalism. The basic quality of capitalism is that the average person has little or no control over their daily life.
Wage labor dominates society.
You must exchange your life to buy back your survival. Whether people under capitalism make the decisions about which records they buy, which inmates serve long sentences, what color the street lights are, etc., is irrelevant. The community that escapes capitalism will involve people directly controlling the way they live. This is the individual and collective refusal of work, commodity production, and exploitation. This will involve much collective decision making and much individual decision making.