Human-readable time can be as simple as tagging monotonically increasing timestamps for the start of every day at the prime meridian. Calendars can count days and weeks and months as normal, but the exact timestamps won't exist for future dates until we observe them, which is fine. It's not a huge dataset to publish timestamps for the majority of historical times, or storing interpolations between months or entire years.
Approximations in calendar time can be used for the future where precision timekeeping is not needed (the holiday party next year at 8:00PM), and exact monotonic timestamps can be used where precision is needed (e.g. the timestamp to start a re-entry or orbital insertion burn around Mars).
Our calendars are already merely tags/counters for physical events (solstices, new moons, high noon) we observe, so making that distinction official in timekeeping standards makes sense to me.