Are you still able to play with your folder having been moved? Would you have been able to get your screenshots if you had just moved the folder itself instead of The Sims 3 folder? The reason I say this is because it's simpler and I'm worried about your ability to play the game and use all features.
I never keep my screenshots in my Sims 3 folder anymore after this. I organize them and place them under My Documents by dynasty. So much easier and I've never had a problem getting to them.
It would've been easier to move the entire folder, but when I tried to it made that copy. The copy does not receive new screenshots, only the ones that were already in the folder (since it's a copy, I suppose) It may have done that just to make sure I'd still have a copy in case anything funky went done, so I'll see if I can get the whole EA folder moved.
However, I am not having problems actually playing the game, even after moving the folder. *knock on wood*