She might not ask any questions, but the fact that she was a Black Operative means that she knows the dirty rags. Could mean that they periodically eradicate the Operatives, to control the risk of leaked information. 

And truth is, Elise will probably never tell the characters any of the dirty secrets of France, even after being quietly betrayed and exiled. If she did, they'd probably actively look for her, instead of just being happy she disappeared.