Before I read this article, I also thought it would be a great idea to get rid of timezones entirely and just use UTC for everything. To quote from the link, (please forgive me for being lazy and not formatting it correctly)
Abolishing time zones brings many benefits, I hope. It also:
causes the question "What time is it there?" to be useless/unanswerable
necessitates significant changes to the way in which normal people talk about time
convolutes timetables, where present
means "days" (of the week) are no longer the same as "days"
complicates both secular and religious law
is a staggering inconvenience for a minimum of five billion people
makes it near-impossible to reason about time in other parts of the world
does not mean everybody gets up at the same time, goes to work at the same time, or goes to bed at the same time
is not simpler.
As long as humans live in more than one part of the world, solar time is always going to be subjective. Abolishing time zones only exacerbates this problem.
Eh, I think the article blows the situation out of proportion. Overall you're still in the same situation as before. Instead you would just be looking up a timetable of sunrises/sunsets, instead of a timezone chart. It ends up mostly reframing the question from "what time is it there?" to "what time of day is it there?". The real version of "after abolishing time zones" is "google tells me it is before sunrise there. It's probably best not to call right now."
I've been using UTC on my own clocks without issue, and the change is not some completely reality-breaking thing - not anymore than DST. From a matter of personal perspective it just shifts what time correlates to what time of day.
using UTC also simplifies the questions "what times can I call you at?" And "when should we have our call?" since you have the same temporal standard. Even before that, I was scheduling calls with family by stating the call would be at such-and-such time UTC.
The biggest difference is with when the date changes, and I think that ultimately is the hardest pill to swallow, and that's even compared to stomaching the sun rising at 2 AM. Having it change from June 5th to June 6th in the middle of a workweek, or even jumping to another month would bother alot of folks in a significant fashion.
Ultimately it's just a personal practice. No nation is going to abolish time zones if everyone still uses time zones. I just prefer it for various reasons.
Between the two, months is much harder. With time, you just set your clocks to UTC. To get months fixed you need mass adoption, rewriting calendar software, etc.