Dude. They contacted police back in 2013 after the finale interview. You do realize that the Times usually confirms stuff they print, right?
My hottake is that LA's case still could fall apart very easily for numerous reasons, and LA law enforcement has been following/watching Durst for 2 years hoping that in a panic he would lead them to more evidence, or say something on the phone. Basically just waiting and building their case.
They likely knew that since he was unaware of the hot mic, once the last episode aired his flight risk would exponentially escalate, so they had to bring him in at that point, whether they were ready or not.
At this point, I really think that hammering him on the Nola charges might be the best bet. He has no defense to those. Convicted Felon in possession of a firearm and possession of a firearm and a controlled substance are pretty serious crimes. Dude is 71 years old. He really has no defense to those crimes, and they could possibly put him in jail for 10 years.
So, try him for the LA murder, but get those convictions in the bag first.