Nah, let the computers do the things that they’re good at, like calculating time differentials. And let people reference something real, like the sunrise and sunset. The whole daylight savings time vs. standard time is dumb, and political timezones are unfortunate, but any time system becomes meaningless when it becomes too decoupled from the way people actually experience time. I don’t care when noon is in Europe, noon will always be roughly midday for me. I don’t expect that’s an unpopular opinion for anyone that spends any significant portion of their time outside.
I like your schema. I’ve used something similar. My hosts have always been sci-fi space/time ships/stations, user accounts are characters from or Captain’s of said vessels. Over the years I’ve had a TARDIS, Serenity, Moya, Out of Bands II, Galactica, Millennium Falcon, Rocinante, etc. It’s usually whatever I happen to be discovering or binging at the time I setup the machine. For nearly a decade the TARDIS was my server/NAS because it was bigger on the inside that survived through several generations of smaller devices like laptops and raspberry Pi’s named after smaller lighter vessels like Serenity and Rocinante.