There's no shortage of international differences in opening hours, days and times and time-zones don't really get you very far towards understanding them.
Time zones give me a few bits of information and knowing about local customs gives me the other bits, but the bits that are encoded in the time zone are bits I can ignore as soon as I change my clock, just as setting your zero helps you work out a physics problem. Instead you want me to worry about all the bits all the time. Why, to make it easier for computers? I thought computers were better than me at handling bits.
Realize that you're on HN, where I've heard long arguments about why your laptop and/or phone should not adjust the timezone of the device based on location. People who argue with a straight face that "the vast majority of people want their laptop to display their home time when abroad".
I like the "Zulu time" system used by pilots and the military. A time like 12:30 is understood to be local time, while 0730Z is unambiguously UTC.
It isn't even hypothetical. The speech patterns of all English speakers who spend a significant amount of midnights awake have adjusted precisely like that.
There was a lovely looped animation of the world's online activity over the course of 24 hours. Can't find it right now, but I'm pretty sure it was on HN. It really exemplified how daytime no longer relates so much to the presence of the sun in the sky as it does to the level of physical alertness and electronic communication. High noon is more like the median longitude of human and network I/O than it is solar noon.
Now instead of knowing your local business is likely to be open from 9 to 5, you have to look up the conversion factor for wherever you are.
Unless you also propose people go to sleep at the same time throughout the whole world.
I agree that a lot of things would be easier it everyone used UTC without timezones. In England you might go to work at 09:00, while someone in California might go to work at 01:00.
When you setup a meeting, you would just need to say, "The meeting is at 04:00", which might be mid-day for California and really freaking early for London, but everyone would know that right away without doing any offset calculations.
I suspect all the time zones are really costing us more work than than they benefit us.
And it's not really a "problem" at all. Just an idiosyncrasy. Like imperial units.
I suspect, it is more of a wetware problem.