I think your example is pretty good. The important detail is that the timetable for Bulgaria, would be fairly similar to your own, except it has some kind of offset, which would be more or less exactly what the time zones express. So, instead of everyone that want to relate to some other places' relative time schedule, having to do it themselves, we just use... Time zones. that's what time zones are.
Without it, you'd have the same complexities inherent with time zones, but with none of the benefits.
A case of a problem being solved, and mistaking inherent challenges, i.e. the sun moving with a different offset around the world, as a fault of the existing approach. The suggested alternatives would improve nothing, and instead make the problem worse.
If only this "committing crime as a group" could be applied to corporations, so we'd end up with the whole board in jail whenever there is wage theft, price collusion, environmental negligence, money laundering, etc, etc.