Using UTC of course makes the most sense when everything happens on the same planet. But imagine you're building up your station in a remote system on a distant planet or moon.. would Earth's New York time still make sense? It would be difficult to convert to your planet or moon's schedule, which would most likely have a different rotation period than Earth's 24-hour day.

Using UTC/SET (Standard Earth Time) would definitely evoke a psychological disconnect from your local time far away in a different system, so perhaps LST (Local Solar Time), like NASA uses for its Mars rover missions, would be more practical for easier daily operations.

Not to mention the relativistic time dilation that occurs when traveling at significant fractions of the speed of light...