But then we would need some method to quickly discern the relative position in the day/night cycle of a locality, perhaps some form of number to indicate the percentage of a day before or after midnight their local area is at. Then probably just add that offset so that the viewer doesn’t need to do the math everytime.
Yes, that is the case for being in your own timezone, but what if you are dealing with someone in another country, you will need some way to know quickly what their local dayurnal situation is. Or if you are travelling, the jet lag will be compounded by confusion.