There are some techical situations where I prefer to use the viewfinder on a DSLR, for example with to much light arround me... It is hard to see the viewfinder in some light conditions, for example with the sun on a beach.
A more specific technical situation is speed of response. You are seeing the moment as it is happening. A blink of your subject, a racing car. If you are seeing display probably the car is no more in front of you... I know. It hapend to me some time.
But in my opinion, the most important thing is to stay in touch with your subject.
You can see a sunset above the clouds on an airpane, just thru de window. You know they are there. You can eaven touch the cold window. But imagine that the next generation of airplanes just put a video display as a window...
Yes, on a camera you know the thing is there... but it dosen't feel the same.