So, what is the problem this article is pointing to. The only damage to the home owners in this story is that they have to put up with their home being a crime scene. This is enough of an inconvenience that I would not use the service if it was likely to happen, but, if I understand the article correctly, the concern is that people might use the house for illegal things, and not get caught. If this happens, then I don't see why it is an issue (for the home owner).
Having said that, there is also the case where damage is done to the home, in which case I would hope that Airbnb has a compensation system set up.