It is a very very strange case and to speculate further, I would not at all be surprised that they have been couched (somewhat) by an FBI profiler at least initially. If LE suggested they "not go there" or "stop going there" I believe they would. They have both tried to be very careful on answering questions in regards to the investigation. I believe they have said, they talk to LE daily before and no doubt in my mind interview areas or the like are discussed at different times.
I have never witnessed a case like this one, in the parents coming out this way (let alone missing from school) and it has gripped the nation.
I have never witnessed a case like this one, in the parents coming out this way (let alone missing from school) and it has gripped the nation.