I'm open to an intruder, just not a random psycho the Ramseys had no knowledge of. If I had LE talking to me like I'm the suspect, I'd give them whatever they needed until their suspicions eased and then I'd be on their ass about finding the real killer. I'd take the chance that they'd find something incriminating, confident that I had done nothing wrong. I'd take any open microphone and filibuster the point that I had done nothing wrong and redirected the conversation towards finding the killer. Parents with half of John Ramsey's IQ do that everyday in the media. 90% of the people watching/listening are going to instantly side with the grieving parents.
Everyone grieves in their own way but I know I wouldn't drag out the first few critical months of a murder investigation playing hide-and-seek with the cops. The police, from experience, are right to initially suspect family members. Acknowledge that but then convince them this isn't one of those cases - unless, of course, you have something to hide.
I am more sympathetic to the Ramseys situation than I used to be.
I don't know what they are normally like and can't be certain what they could be expected to act like in this case compared to what I might think I would have acted like.
I don't disagree that their actions seemed strange, and they did bother me for some time. But I think there is more than one way to look at this case, whereas then I didn't.
And I'm utterly convinced there was nothing random about Jon Benet's murder if the perp was an intruder...