Man, wouldn't it be nice if there was a way to indicate you'd like a drink without having to hit the call button. Say maybe just order it and have them bring it to you, so there's no trip back/forth.
Joking aside, I know on B6 they will explicitly say if you'd like them to bring you a drink at any point or if it's not in the mid-cabin fridge to hit the call button and they'll happily fetch it.