I have to agree Jane.
If a person is stealing, they shouldn't be allowed the opportunity to travel in a community such as AirBnB. This is a community, and community builds one another up, a good community does not do any harm to others. A thief isn't wanted in anyone's home or on their property and AirBnB is a website filled with people of whom are good to one another. I'd prefer lose a thief's business than him steal my profits or sanity, or steal so much that he puts me further in the hole. The idea of having a business is to make money, thieves make sure that doesn't happen.
General rule of thumb: A thief doesn't just steal, most hang around with people who do other things as well. If you invite one type of criminal behavior you might be inviting something you want in your home even less than a thief... that's the part that gets scary.
It might be a good idea to somehow let others know when something has happened. A 'star' or review might not be enough warning for more criminal like behavior.