Just a couple of things that stick out to me and don't stick out
Family/friends/anyone remotely related searching, you don't want someone who is directly involved helping....say the perp left the body at point A but has an item of the victim's in his posession...He "finds" said posession at Point B where he is "searching" with police.
Now point B becomes the focus of the investigation, however, in the true scheme of things, Point B is irrelevant to the crime. The evidence found there was planted. This contaminates the site and corrupts the investigation.
I have no problem with family not searching.
TH reportedly last sees Kyron at 845....the next known time info we have is that she updated her facebook at 1:21 pm. that gives a "blank" in her time line of 4 hours and 41 minutes. Now, if her picture post from facebook was a "mobile upload" the "blank space" until we can confirm somone saw her moves to 3:30pm another 2 hours and 9 minutes...a total of 6 hours and 50 minutes.
The first reported sighting of the white truck on the dead end street was at 3pm. It's not far from NW 6th Avenue to the Horman home. IF (just putting out a theory here) it was TH there is plenty of time to be seen on 6th Ave when the white truck was seen and make it home again before the bus comes at 3:30.
If what is reported is correct, that the cell phone pings were not where TH said she was...you have to look at why she did not tell the truth as to her whereabouts. This to me is a big red "look at me arrow". Think about it, if all she claims she did was "grab a gallon of milk, run to the cleaners and grab lunch"(My examples)...then why do the pings place her elsewhere? Why would she deny being where the pings place her? This is the one thing that has turned my thinking. If you "run errands" you have no reason to lie, but if you're somewhere where you don't want people to know you were, you lie. This bothers me.
Additionally, if she was running errands as she claimed, would some of the places she stopped have video evidence of her being there? Why hasn't this been brought to the forefront?
Then the question of not one, but 2 polygraphs. I can only think of 2 reasons why you would need 2. A) you passed the first but they came up with additional questions B) you failed and they are looking at you harder.
I HATE thinking that someone so close to Kyron could do such a thing....but there is an open spot in her time frame. even if you count the facebook update, there is still 4 hours and 41 minutes that needs to be accounted for, more than enough time for the unthinkable to occur and to still be where we "know" her to have been. IF the Facebook update was from a cell phone it moves up to over six hours of time where her actual whereabouts are unknown except for the fact that her cell phone places her where she did not claim to be.
You have to look at Means, Motive and Opportunity.
Means--unknown we do not know what actually happened to Kyron
Motive--unknown
Opportunity--we know that of the people closest to Kyron, TH had approximately 4 hours and 41 minutes up to 6 hours and 50 minutes of time that currently are unaccounted for/she was not where she claimed to be.
Right now, this is all they have to go on and they have to explore it fully.
Just my thoughts. I'm not saying TH had anything to do with Kyron disappearing, just that you have to investigate everything.