Yes, and "Four twenty-fourths of an earth day, fifty .000694-parts of an Earth-day, and twenty .000011574074074-parts of an Earth-day after solar zenith on Earth, on the twenty-fifth day in the month of Gaius Julius Caesar, in the year of our Lord 2485" will sound equally meaningless to people living in extrasolar colonies.
Firstly, bad example. You purposefully made it as clunky and convoluted as possible, which is really annoying.
Secondly, I said nothing about minutes or hours or seconds or calendars, but about natural cycles that are intrinsically important to humans, compared to epoch+ unit time dates, which fail to address that importance totally.
Thirdly, while extrasolar colonies are a fantasy that you seem to have an affinity for, none currently exist and they sadly seem quite unlikely. Therefore timekeeping in real and relevant situations is a more important matter.
People living on the surface of Earth are raised to think in terms of days and months and years.
Wrong. It is of intrinsic importance due to our evolutionary history. Days govern our daily lives, the menstrual cycle (and also oppurtunities for hunting and waiting for tides in some cultures) is close to the lunar month, and years define seasons which are equally important.
Ok; so maybe the last two are less relevant. But to put things into perspective, I was taught to go to bed at 20:00 and wake up at 07:00 when I was young. The times at which I go to sleep and wake up at now are nothing like that, but I still adhere to a roughly 24 hour cycle.
How about the day the first human object reached space?
Sounds like an annoying science fiction cliche.
You could use Planck time, but you'd have to invent new SI prefixes up to 10^50 and perhaps above to be able to describe common events in human activities.
Why bother? You've just thrown human relevance out the window, so you might as well do it entirely.
Doesn't prevent us from hypothesizing about a marginally more sane world, however.
Why is it not "sane"? Because you said so? Because you personally dislike the idea?
Our current time system works. It's relevant, and it does its job. And it may be a bit clunky, but that does not make it un-sane.
Dislike it all you wish. I still don't get the point of why we still have minutes and hours...