I wonder if raise and shift are only popular because they're easier than raising/moving the tripod?
There's often no realistic amount of rise you can make with your tripod to keep verticals parallel and still have the desired framing. It's common in architectural work; take the classic image of a church tower taken from the front from ground level. You'd have to raise your tripod to roughly halfway the height of the tower to get parallel vertical lines and still capture the entire thing.
In other words: a little bit of front rise generally does the same thing as actually moving the camera by a far larger distance.

