On a combat ship readiness would be hampered and reaction times slowed down considerably. I wonder how long it takes to set Zebra now with a GQ call in the middle of the night? How about a manned and ready fire party in the middle of the night? Man overboard? Fact of life on a ship when I was in was you dressed on the way to the call. Time was not your friend and seconds mattered and were counted.
Reporting to man overboard muster in your fruit of the looms was common as well so a complete muster could be obtained quickly to see who all was overboard. You reported in person to your work center. Taking time to make certain all is covered would have resulted in a mess and questions from the ones waiting on you.