From the beginning, I heard it was a separation, not a divorce. And I still think that Slash told certain people he was separating from Perla knowing full well it would be trumpeted all over the internet and that Perla would hear about it. It was probably a message to Perla.
And Slash didn't actually deny that he went to Axl's house, if you read between the lines, he denied that he had a conversation with Axl. In Axl's version of events, he never comes out and says he talked to Slash directly. So in that respect, they're both being truthful. (Sort of).
In that Camp Freddy radio thing Slash mentioned a joke that Perla had told him and that they just got a new dog and named it after the punchline of the joke. That doesn't sound like they are separated to me if they just got a new dog together.