“i will call you tomorrow” already does not define a time period. And nothing is stopping Noon from being a local time, its just that your noon in Hawaii would be UTC -10. So saying I will call you tomorrow afternoon still means I am calling in the later half of the day even in global UTC. You are just defining it with a local reference.
Currently if I want to call someone in Japan, or Australia I already cant say I will call you tomorrow afternoon, because its already tomorrow when I get up.
actually its easier because you just apply the UTC offset, and that is assuming its a cold call. If your setting up a call via email or chat or something like that you just say what time do you want to talk tomorrow. I work from UTC 13:00-21:00, and I see that you work UTC 07:00-15:00. How about we have our call at UTC 14:00?
doing this type of international communication gets simpler because now you dont need to convert into a local reference on both sides. Since you both work in UTC you have a standard reference and all the conversion is unnecessary.