That may not do it entirely. From the software install perspective I believe it is valid but I recall seeing another thread on this subject referencing having to take some additional steps to move your license file to the new server name.

I suppose if you happened to use the same server name then this may have just worked out for you but in case you may not have this may still be an open item for you.

And it is possible there could be other gotchas with this process.