I don't know if Billie really "told" (as she said - not asked) Clint to call LE and tell them she was on her way there.
I don't understand why anyone would tell someone else to call someone and say they were on their way there, when they weren't.
Billie was not on her way to the PD. Billie was on her way home to see if Hailey was there, and if she was, then she wasn't going to the PD of course.
Billie was then on her way to several of Hailey's friends' homes to see if Hailey was there. Again, if Hailey was there, or they knew where she was, then Billie wasn't going to the PD.
The whole thing is simply ridiculous.
I have no doubts that Clint was well aware of, and used to, this kind of manipulative, controlling behavior from Billie, and knew to wait and see what scheme Billie had going before potentially making an utter fool of himself by saying she was on her way to the PD when she wasn't.
All that being said, I do wish Clint had just ignored Billie and her games, and called 911 right over, so they could do some questioning potentially of DD if he was there and not with Billie, while Billie wasn't around to influence, manipulate, or intimidate DD.
LE may have gained some truthful, accurate information in those critical early hours, that may have helped in determining what happened to poor Hailey.
I wish Clint had seen that Billie was likely up to no good.
This is my opinion based on the info currently available in this case.