This is not correct comparison. Since you provide services locally you should know local laws and tax code. AirBnB just provides a platform for you to provide the services, but I don't see how it is feasible for them to ensure that each their service provider follows all laws in each location.
How about this comparison. When/If Amazon starts paying California, Virginia, ... state sales tax, Amazon will be responsible for collecting and sending it to the municipalities. Not the publishers, authors, or manufactures of the stuff they sell. When people buy things on Amazon.com they are Amazon's customers. Not Wrox's or O'Riley's.