Yes. That's the point. What question would you ask otherwise? Because it's not a standard question that exists right now.
It's introducing a new concept that's just as confusing, but without a common reference point. "When is day for you?" "What's your light schedule?"
If you want to use a single time for everyone, we already have GMT, no one uses it for daily use because it's obtuse as hell if you don't live within an hour or two of it.
Not the original commenter, but why couldn't it be more like "John sleeps from 12-20:00 and is usually working from 21-5:00" and "Stacy sleeps from 8:00-16:00 and works from 17-1:00", so Stacy and John decide to plan their video call for 6:00-7:00? Like I don't super care what light schedule it is, more what my friends schedules are specifically, right? And the question could just be, "What times are you available?"
Even better would be the various laws relating to things that are geographically bound.
Labor laws for teenagers over 16 typically state that they can't work during the hours of 0700 to 1500 Monday through Friday, 2200 to 0600 Sunday through Thursday, and 2330 to 0600 on Fridays and Saturdays during the school year.
Imagine the nightmare of what that all turns into when day change happens in the middle of those blocks of time.
A lot of labor laws and accounting in general become terrible.
Same question I asked Kusimulkku: do you not even know anyone who works second or third shift? Because we ask eachother about specific sleep schedule times all the time, ie, its a very standard question for most working people.
With universal time, the answer is meaningless without also knowing where they live. If you have a friend who is traveling and says "Oh man, I stayed up until 3AM last night." Did they go to bed early or late? Not only do you have to clarify their normal sleep schedule, you also have to figure out where they currently are before "3AM" has any relevant meaning.
It's objectively worse for communication. As I've mentioned to other posters, we already have GMT if you want to use that. Let me know how well people understand you when using only GMT for scheduling.
I'm glad GMT exists as the middle point for us to use personalized time zones, but don't want to lose that "midday" is when the sun is high in the sky and "midnight" is partway through the dark time.
"Did they go to bed early or late?" ... they went to bed x hours ago. If anything, the math is easier when your 3am is also their 3am(although am/pm would also have to go out the window). Time-zones or no doesn't tell you when they got up or started working without you asking either.
What if the story is from a week ago? Yes, your 3am happens at the same time as their 3am, but your 'night' is still their 'day'.
You'd have to intuitively know every time zone and their offset in order to have an immediate understanding the way you do now that 3AM is the middle of the night. It requires an additional question or lookup table, which makes it objectively worse of a system for humans to use and remember.
communication with people on the other hemisphere (north/south) but close in east/west direction
communication with people far away in west/east direction
and several topics you could talk about
schedules or availability with explicit times
day length, getting up early or late, light/darkness related topics, temperatures at certain times of the day,...
Assuming any initial adjustments to new systems are ignored for the purposes of the next paragraphs.
Any system is really not a big deal for local communication since everyone knows which hours are sleeping hours and which season it is (day length,...).
Communication with people on the other hemisphere uses the same times, except when DST fucks it up, sometimes at different changeover dates and in different directions if both use DST. Day lengths, sunrise/sunset, temperatures,... all differ and are not really comparable unless you mentally apply a six month offset to your own experiences.
Communications with people far away in west/east direction requires knowledge about the timezone offset, sometimes half hour or 15 minute offsets, as well as potential DST changeover dates and if they use DST at all. Every time you want to schedule anything you need to mentally convert that time to either something like GMT/UTC you use for scheduling or to the other person's schedule. If you have a regular event that happens at time x every week DST changes can make it change up to 4 times a year if both places use different DST changeover dates.
Day length and what is sunrise and sunset only really work without problems if you live at comparable distances from the equator, temperatures are influenced by things like the gulf stream and other weather patterns and geography (nearby oceans, mountains,...) in addition to the day length. So you have to figure out more details here anyway.
So basically you can communicate about any of that stuff clearly just based on assumptions in the current system mainly with people who live in the same place as you do or with people who live in a geographically very similar place that observes the same DST rules yours does and is the same distance from the equator assuming the other person has a similar sleep schedule as you do.
And the cost for that is that anyone who ever wants to schedule anything with someone who lives a bit further away has to do some mental gymnastics and know a lot about the system of timezones and DST for everyone involved.
"what time is it" is the natural way that people have asked about where in the typical day night cycle it is for eons. We don't really have another way of formulating the question that flows naturally.
It would be the same time everywhere, but you'd only know what that meant in places you were familiar with. Otherwise you'd have to look up the difference in a big table, which is exactly what a timezone is.
We have a system for a uniform clock that's synchronized everywhere on the planet. The people for whom it has benefits already use it.
You already only know what it means for individuals you asked about it. When someone gets up is rarely useful to know, what you usually want to know is when they are available for communication/spending time with you.
Then it's really weird that people typically ask "what time is it there?" before they ask "when are you free?" isn't it?
People orient themselves to each other as part of communication. Sure, it's weird that we often like to know when in the day it is for the other person, but we do.
Nothing is stopping anyone from talking about time in UTC, yet people essentially never do. That doesn't make them wrong, it just means our requirements for "time of day" are more nuanced than coordinating business meetings.