Yes. For what’s its worth. I’m sure most of us here that are interested in crime know that polygraphs are worth nothing in regards to finding out if someone is deceptive, but are often used to pressure someone to give more information, especially by telling them their test was deceptive or inconclusive to see if they’ll crack.LE can say what they need to in order to get the all-important job of finding this woman done. Reassuring the family or the public is not the main job here. So there are a number of good reasons why they may say what they say at a given point in time. Remember that they saw fit to administer a polygraph (per RT) and that they also they saw fit to tell him there were signs of deception (again per RT). All of this for what it's worth.
In this case they may have had all the evidence she was there, but were trying early on to see if he had done something to her out there (ie. a fight occurred and he killed her and hid her body somewhere).
They have to consider all possibilities.
I’m struggling with the idea that many here are claiming that the police will claim ‘no foul play’ when they really believe there is. This report came several days into the investigation. I question them using it as a tactic because of the many many times I’ve seen reports where the police do the opposite and say they suspect foul play. It would seem in some cases that the pressure of being under suspicion would cause someone to crack and mess up more than relaxing and thinking they’re off the hook. I don’t know the exact psychology and it would need to be used judiciously and directed based on the individual.
I’m not an expert on how the police use their statements, or whether they lie to the public about this however. I did ask if someone from LE could clarify if they would actually straight up lie to the public about such a serious matter if they had evidence or suspicions otherwise.