Right, but let's say you travel to another country across the globe and want to communicate with someone back home. You don't need to calculate timezones, you just remember what a reasonable time is for where you come from.

So I think the problem is a little simpler this way, though it doesn't eliminate the innate complexities of timezones. I do think it solves a lot of those problems, because chances are you're dealing with the same small set of timezones and can easily remember what times are reasonable. I already do that today, so nothing is really changing here other than the numbers we send to each other get simpler.