Why do I think the girls were at Meyer's Lake? Because LE has multiple eyewitnesses placing them in the vicinity from 12:30 to 1:00 pm. Because their bicycles and Elizabeth's purse were found there. Because the two Bloodhounds the FBI flew in found scent away from the bicycles.
And because I think actual evidence trumps psychological theory.
<respectfully snipped>
The reason I have some doubt is because police have a possible witness that saw them between 12:30 and 1 near Elmer and Gilbert, but they do not have confirmation that the girls were at the lake, because the dogs tracked 10 feet from the bikes to the water and then stopped, because the bikes and purse indicate the children were dawdling when we know they knew they had to be home, because they went out for a bike ride and did exactly as they were told for 53/60 minutes that they were allowed to be on bikes and because they were last seen heading in the wrong direction to go to the lake.
It's no surprise that the police were completely stumped ... since everything we know can be interpreted in at least two ways.