Greg;
I could make the argument that they provide Internet access, in the
sense that one can use these providers to gain access to a subset of
content and services that is "traditionally" called Internet service.
I would support them being classified as Internet Access Providers
(IAPs). In some circles, that's what they're called.
Your points are taken that you can call them WASP (Web Access Service
Providers).
Masakaka Ohta