Yeah, changing date when everyone is sleeping is a horrible backward idea, I want my days to change randomly in the middle of daylight.
We could then invent a new word to differentiate between the "day" as the date and "day" as this daylight cycle. Then we would need seven new week day names to differentiate between the official date and light cycle. Lot of fun in perspective.
But then it would make visiting other countries easier, no need to set my watch... oh... wait I have to change my whole brain to adapt to the new schedule instead.