Hello, We just got back from our Cruise on April 24 from the Century and we had absolutely no problem with bringing beer and liquor aboard to drink in our room.
The crew didnt see to care really. Even when I went to turn in some Bacardi from Puerto Rico at the desk the young men seemed suprised even that we were voluntarily turning it in. They said-

Are you sure you want to turn this in??? Century need not worry because we all drank up quite a tab onboard also!