That's not a terribly useful utility in many contexts outside of social communication. As I said before, I don't see people using this for colloquial utility any time soon.
Hahaha, time is a social construct! Saying that our current system is not useful "outside of social communication" is like saying that food isn't useful "outside of sustenance". I mean, sure?, but that's the whole point of it.
Funnily enough, it also exists outside the needs of society. I personally find the 24-hour time system—especially with its half-synchronized, half-solar construction—to be pretty miserable to work with for personal needs. It's also pretty miserable for many professional concerns as a social construct, even if you manage to agree on using UTC. Time zones are an absolute nightmare.