As per the China example, I think most places east of Beijing run on two simultaneous time zones. Official time and local time which can be very confusing for anyone not from the region.
An example noted was Xinjiang which runs on both Xinjiang and Beijing time which are two hours apart. Trains and busses run on Xinjiang time while stores post their hours according to Beijing time.
The issue that I see is that when travelling you wouldn't always know what time to eat lunch. The first time I miss lunch because it is a cloudy day and I couldn't tell that it was high noon I will lose interest in the proposal and actively resist it.
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