If you don't articulate what day it is, people can interpret it from special day to hide and seek day. And everybody will be right syntactically.
Other thing is, to progress into making a game or using resources other than contained captivity(cage), you are supposed to sum up all the alive terrorist in a place, so you can manage or task a teammate to cautiously look for the missing culprit. Removing that protocol leads to more organizational problems which require more time to resolve and eradicate. And in this server, time is also a resource. The less resources you deplete, the better.