You're pretty much damned if you do and damned if you don't. If you touch things that are working you could break them. If you don't touch things you never know what'll happen and you get fewer opportunities to learn. Move your servers around geographically and you might improve the odds that anything is working by reducing the odds that everything is working.
I don't think we're quite to a place yet where having servers down can be characterized as a non-event. Even if the customer can't see a behavioral difference, business units still tend to get quite anxious, and sometimes their theatrics put the whole process in jeopardy (not unlike trying to rescue a drowning man). It just hasn't been normalized yet.