* I want to call my friend in Germany. What time is it for her? I guess I'm UTC-7 and she's UTC+1, so she's 8 hours ahead of me. I know that everybody around the world typically wakes up between 6 and 9 AM and goes to sleep between 8 PM and midnight, and she's an early bird, so she should be awake.
* They said the meeting was going to be at 8 o'clock, but they are in a different time zone, did they mean mine or theirs?
Without timezones:
* I want to call my friend in Germany. It's the same time here as there. It rises at 13:00 here, but she's a quarter of the way way around the world. I have to look up their typical waking hours. She's an early bird, so is she on the early side of that, likely. What time does the sun rise there? How much does that change over the seasons?
* They said the meeting was at 18:00. I know exactly when that is.
* If I live too far from the UTC, the day will change in the middle of my working day. My friend said they'd see me on Tuesday. Do they mean the day that had Tuesday at the beginning of it, or the end? What does "Tuesday morning" mean when morning is at the end of the Tuesday? Is "morning" the beginning of the solar day or the beginning of the clock day?
I agree with DST and 12-hour clocks, those are antiquated and mostly pointless. If you get rid of time zones, you don't simplify anything. You trade one set of complications for another. The complication is that you are interacting with humans that have different hours than you do, getting more different as you get farther away. Without time zones, you still have those complications, and you trade the set of time zone complications for another set of complications, by having your time completely divorced from your local daylight and working hours.
There are stupidities with modern time zones, but the concept exists for a good reason.