But cities do need to grow and expand. Quiet backstreets turn into busy boulevards. They have done so for millennia. The economic opportunities such transformation brings for the city far outstrip the cost of new sound insulating windows - not to mention that, for owners, those are more than covered by the appreciation of the property.
That's why I prefer a system where tourists and hosts pay for the creative destruction they do to residential areas, and put that revenue to good use for everybody else.
These kind of rules is something all businesses need to adhere to, and I see no reason why Airbnb should be an exception.
It's laughable to require a single rented room the same paperwork that a large hotel requires, then say that enables them to "play by the same rules as everyone else". They are a fundamentally different way to provide the same economic service and the law needs to adapt, not protect traditional interests.
Tourists patronize all sorts of businesses (lodging, transportation, entertainment, food, retail) and those businesses are paying taxes. The revenue from tourists is part of that business equation. Of course there are also specific taxes paid by tourists (airport fees, port fees, hotel room taxes, rental car taxes) as well as regular transactional taxes paid by everyone (sales/service/vat).
You say "tourists are not paying taxes to the city" which is certainly wrong for San Francisco and for most other cities I've travelled to as well. In San Francisco, there is a 14% occupancy tax and it is taken by Airbnb automatically during booking as they do in hundreds of cities. Compare this to Craigslist where I used to rent and nobody ever mentioned paying tax once.
Finally, many of these cities literally have tourism as their number one industry. Its a bit dangerous to start saying that the people who fund your city are second class citizens since they only pay occupancy taxes and not income taxes. In fact many of the areas against Airbnb like Miami Beach have bent over so far backwards for tourists that all they care about are the hotels now.