I really fail to see why they wouldn't just use UTC. > There are also technical issues to consider. Clocks run faster on the moon than on Earth, gaining about 56 microseconds each day, the space agency said. Further complicating matters, ticking occurs differently on the lunar surface than in lunar orbit. And all computer clocks need to be corrected for drift anyway. Standard mechanisms for dealing with unruly oscill…
Point is, the moon experiences time slightly differently than the earth, so having a clear reference will help synchronization, both to familiar geocentric standards as well as while on the moon.
I don't think we should define days around the petty need of humans. Even calendars are setup to map roughly to larger systems like phases of the moon / tides or orbits around the sun. The fact that an astronaught needs to sleep many times in a single "day" should not be a concern for the reference day/time, but could perhaps influence the time zones?