Let’s say people can’t agree on the time to go to bed, and each timezone declared war on every other timezone. Who would win in this conflict? What alliances would form, and will there be betrayal? What would the new world order look like with a standard time for everyone?
GMT+8 looks good with the entire population of China on its side. GMT+1 and +2 have large chunks of Europe and Africa and could be quite strong too. The timezones in the east and west coast of the U.S. might also stand a good chance.
I think we can arrive to a best-of-both-worlds solution if we just up the tolerance for when solar noon can be to 12:00±2 h. If China just had +7 instead of +8 as their timezone then 99 % of the population would have solar noon in between 10:30 and 13:30. Same applies to the entire EU (excluding Outermost Regions) if it had +1. The entirety of South America and most of the Caribbean would fit in +4. The US could definitely get away with 3 timezones instead of its current 5 (-6, -8, -10).