I can't imagine that relocating an entire environment for a multitude of applications and services is as simple as scping things over. I'm sure there is a process wherein scp could be a step, but I don't see it being any easier/faster.

Moving the hard drives could be an option, and I believe it is sometimes done, but it assumes there are empty boxes on the other end waiting to receive the hard drives in a similar configuration to how the hard drives came. Also there's separate issues depending how many drives they are dealing with, and what redundancy is involved. If it's very few, then you might as well move the server outright. If it's very many, then there's extra human overhead (and room for error) in keeping the drives together.