Can you imagine:
"My dad said he wasn't going to sign that FTA with [country X]"
"No, I heard him say he really can't stand senator [from state X].
"My mom and I will be going shopping at [some store] at around 2."
"Yeah, I actually saw the King of [country] in the oval office --It's supposed to be a secret."
Not saying their daughters would have loose lips as exemplified above, and the example are highly unlikely as they would be trained to avoid such statements, but you could imagine people mining what they say to try to infer from what they post and extrapolate as well.
It would be a profitable mine for the opposition as well as for any wrong-doers.