You’d think so, but the problem is that because of gravity, clocks on earth and on the moon will run out of sync. Idk ask Einstein.
Yeah I'm aware. It would require ongoing recalibrations of the time display units on the Moon.
Then again if they could just pick up the atomic clock signal (WWV, etc.) from Earth, and then add to it for the time it takes for the signal to cross space from the Earth to the Moon, etc.
At the end of the day it's just about having all the homo-sapiens going to bed and waking up at the same time, so they can do business in the same window together.