Sure that would be gut instinct. But they have sat on this for days, it was even said earlier today they were getting their thoughts together as a family to do this media. Something to that effect anyways. They have also had police and FBI around.
So perhaps they wanted to present a strong united front. If you watch mom, she takes many exaggerated deep breaths before she speaks. I got out of that, that she was gonna say something from the gut, but took that deep breath, rethought it out, and kept right on going with the "we, strong, family" bit.