Timing is everything. Is it even a tiny bit concievable to you that both might be right. When Ms. Adams arrived there was only one police car. That is a fact. When the detectives arrived - much later - there were lots of neighbors in the house.
Why is it that everyone is lying or conspiring? Do you really have that much of a cynical, jaundiced view of the Smarts and LE? It would seem that the all-purpose critics on these threads are the least likely to grasp the complexities of this case.
I think the words "responding officers" speak for themselves. If Chief Dinse were talking about detectives who arrived on the scene much later, I think he would have made that clear.