No vacations? Family time? Socialising? You never drink? Ever??
But I always have a 3G-enabled phone near me and I always keep a laptop around. I also have monitoring in place that alerts me in case shit happens before my managers even notice.
This is not about being available 24/7, but about being available when needed. That's in case of emergencies, which by definition are exceptional.
Also, if your customers are suffering because of a problem, good customer service means waking up and fixing the problem at 00:00, regardless of your location.