So You Want To Abolish Time Zones
In a nutshell:
Before abolishing time zones:
I want to call my Uncle Steve in Melbourne. What time is it there?
Google tells me it is currently 4:25am there.
It's probably best not to call right now.
After abolishing time zones:
I want to call my Uncle Steve in Melbourne. What time is it there?
It is 04:25 ("four twenty-five") there, same as it is here.
Does that mean I can call him?
I don't know.
The trouble is that "2 AM" now means radically different things depending on where in the world you are, and you lose any ability to be able to intuitively reason about the time in other parts of the world from you.