The latest info I read was the pilot had requested a lower flight level, he wanted to drop to 18k from 31k, due to a problem indication. He didn't say what the problem was. ATC gave him 25k. He requested a lower level again. ATC said, "We're working on that." Finally he was granted 20k.
One of the ANG fighter escorts claimed they could see the pilot's "chest rising and falling right before I left."
If there was a cabin pressure problem, why didn't he just inform ATC he was headed to a safe lower altitude due to a life safety issue? Would he have to ask permission for that?
Lots we don't know. Probably never will.