So, no matter what time zone you pick as the reference, by definition the international date line is 12 hours away from your reference.
See:
I guess you could potentially have some sort of graphic to show the same thing for sunrise vs sunset ... but as you point out, the maths needs to be done either way, so why get rid of a system that works pretty well?
DST is the real enemy here.
'Tomorrow clock time or tomorrow after the Sun rises?'
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.
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.