Oh, I think it adds up just fine. This is all speculation based on the case and on my own experience with a domestic violence situation I was in almost 20 years ago.
Gail is nervous, in a panic, upset. She's talking to everyone who will listen, including LE. Nothing actually illegal has happened, though, and whoever she spoke with at LE is disinterested, whether they are consciously aware of it or not. After the comments from LE and Judge Brown, I suspect many in LE thought this was all just a divorce case and they didn't want to get involved. I personally see a sort of underlying idea from LE and the court that there are two sets of evidence/information, one for the divorce, one for the missing person, and they haven't combined the two things.
Gail disappears on the 30th. Arlene tries to call, gets no answer. Diane probably did as well. On the 1st, Arlene speaks to Matt (again, I don't have this info right at my fingertips, but I am pretty sure AD talked about this in the first SMM interview.) Diane spoke with Matt, too, and finally calls LE on the 2nd and insists Matt does as well. When Matt speaks with LE, he says "oh, she's mentally unstable and has disappeared before." Again, LE is disinterested because they think it's just a divorce case.
Days go by. It finally hits the media. Susie, Arlene, Diane all tell the media basically the same story: Gail was scared, she might have been followed, she's given items to numerous people for safekeeping, Matt was cheating, they were going to get divorced.
A couple weeks go by and LE suddenly realizes this isn't just a messy divorce case, but time has been lost. Yet there still isn't any real solid evidence that something happened to Gail, so they clam up. The initial comments made by LE like "If it was my wife, I would have called sooner" dry up. They get tight lipped and, IMVHO, the spokesperson at the one press conference even gets a little snippy if a reporter dares ask a question. They share nothing and they repeat they will not share anything.
I know people think that means LE is working behind the scenes, and I don't doubt they are. But I also think they are clamming up because they know -- especially now that Diane has told the media that LE called Gail as she was driving back to TN the day she disappeared -- that LE didn't do their job to believe Gail or protect her.
LE talked to her as she was driving home, so scared she wanted them at the house. They clearly wouldn't go to the house. She didn't stay there, instead driving off, never to be seen again. LE has to know it has some explaining to do about that.
Even if it turns out Gail had an accident or harmed herself, LE needed to step in at some point. They were given ample opportunity from November 2010 when the first 911 call was made until April 30 when Gail spoke to them just before she disappeared. Why didn't they realize the seriousness of the situation?
This is all my opinion. I know it's a rant, but I personally have dealt with LE that doesn't care, and I am seeing just a little too much in this case that is similar to what I personally have dealt with.