When these costs become significant, regulation should make landlords responsible or taxable to recover the costs.
There is no passing the buck to public services either. Laws varies per jurisdiction, in general it is for landlords to pay and hopefully recover costs from tenants.
The issue discussed here is not specific to AirBnb and is a well-known issue in property law.
If you are bound by covenants not to let or sublet then using AirBnb would definitely be a breach.
You are technically correct. AirBnB is letting/renting in the broad definition. This broad definition also includes renting a Jackhammer from a trade store, or using one of those pay as you go scooters on the street.
However to use such a broad definition, I am not sure what your original point was.
My point is that there is a big difference between "letting" as what it normally refers to in this context - a lease agreement for people to live in a residential property, with tenants rights implied, and some law covering this area and AirBnB which is more like a hotel service.
AirBnb is only a glorified advertisement and payment platform. They cannot do anything about this sort of issues. There are not a letting agent. They are not a substitute from knowing what letting property entails.