Plus, even if he thinks she's not dead, his comments don't help the prosecution and the LE who have been working on this non-stop.
In my opinion, he, of course, can express to the parents his belief that she's not dead, but the public comment could have been skipped or he could have worded it in a different way. Right now it looks like, even he, doesn't have faith in the investigation in to her disappearance and the arrest of the personal responsible, even though I'm sure it's not what he meant.
Of course, his words could have been taken out of context, as we all know, news reporting in today's world isn't 100% accurate.
JMO