Nope.
This. All you have to do with Blizzard games is save the directory to a portable media device. Then, copy to the other computer. Point the Launcher at the file. That is it! Launcher has a “find the game” function that searches your computer so you don’t have to do too much work unless you put it somewhere odd.
This is what you should do, if you can, for all Blizzard games. Keep a copy on an external drive that way when you re-install or put it on a new PC, all it has to do is get the latest patches.
I can promise it works for D2R. I downloaded it to my desktop, copied to external drive, put it on my laptop to see if it would even run.