How local are we talking? Are you saying that a branch of a supermarket in one city should be open at a different time to another? And are we talking only shops that interact with local customers, or ones that require on upstream interstate trade?
To be clear, everything eventually gets solved, but the solution is to eventually settle on the time scale we have now. Schools, businesses, banks, supermarkets, late night bodegas, they didn't all get created by decree, they naturally evolved to where we were on a societal level, and that's why I'm suggesting it's not possible to change something on a local level. Society synchronises to itself.