So we'd need to adjust our terminology a bit. I'm sure the world wouldn't end because of that.

It's always amusing to me how opponents of the idea of abolishing time zones assume that everything will stay the same, except, well abolishing of time zones. Apparently in the moment we do so, humanity will be become incapable of adjusting even the slightest. It will be impossible to invent a couple of new terms to let people communicate easily about time. It will be impossible to replace time zone maps and time zone aware clocks with ones that show regular office hours in different regions, &c.

For the record, I'm not even really for abolishing time zones, but the fact that the word "tomorrow" would become slightly less useful is not a particularly significant reason.

We spend a huge amount of our time talking about and reasoning about time. Destroying the meaning of all of the language we've built up is pretty significant. More importantly, it basically ensures that all that terminology will be vastly different when you live in different parts of the world, where the day changes in the morning vs the middle of the solar day vs the evening vs the middle of the night. Weekday names will be entirely regional, and their implications will be as well.

Decoupling day cycle from the sun is quite a big change.

I usually say "tomorrow your time or my time" :)

usually (outside of global business meetings) when you are talking to a person about making plans you are both in the same time zone. So asking ‘your time or my time’ is unnecessary.

But if we got rid of time zones, you’d need new ways to distinguish between tomorrow meaning ‘after the clock ticks over 24:00’ bs ‘after the next night cycle’ because they would not be the same thing.

To be fair the same ambiguity occurs now if you are, say, parting ways with someone after midnight and you say ‘see you tomorrow’, but you actually mean later that same calendar day.

But I think losing the ability to make use, in everyday local conversations with people in the same place as you, of concepts like ‘tomorrow afternoon’, would be kind of a dealbreaker for time zone abolition.